Carson needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The total amount of money Carson would have to pay to use the studio for tt hours can be determined using the equation P=50t+100.P=50t+100. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer 1

Answer:

The y-intercept of the equation is 100 and represents the initial studio-use fee.

Step-by-step explanation:

In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.

Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.

P = 50(0) + 100

P = 100

Therefore the y-intercept is 100.

In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.

Hope this helped!


Related Questions

In ΔUVW, u = 380 cm, ∠W=89° and ∠U=33°. Find the length of w, to the nearest 10th of a centimeter.

Answers

Answer:

697.6

Delta math

Select all of the true statements

Answers

Answer: May you give the statements?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Where is the statement?

i need help in this qustion.each unit costs 14p.how much do 942 units costs?

Answers

Answer:

£131.88 or 13188 pence

Step-by-step explanation:

1 unit = 14p

942 units = 942 x 14

942 units = 13188p

£1 = 100p

13188 ÷ 100 = £131.88

Hope this helps!

A square has a perimeter of 4 yd. What is the length of each side?

Answers

the length of each side is one
add them together to get the perimeter of four

The length of each side of the square will be 1 yard.

What is the perimeter of the square?

A square has four equal sides, and four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.

The square's perimeter is four times as long as its side.

For a square with a side length of a unit, we get:

Perimeter of the square = 4a unit

A square has a perimeter of 4 yards. Then the length of each side of the square will be given as,

4 = 4a

a = 1 yard

The length of each side of the square will be 1 yard.

More about the perimeter of the square link is given below.

https://brainly.com/question/11495285

#SPJ2

50 PONITS This model represents an equation. (a) Write an equation that could be used to solve x. (b) Solve the equation for x. Show your work.

Answers

Answer:

A) [tex]5x-1=-6[/tex]

B) [tex]x=-1[/tex]

Step-by-step explanation:

On the left, we have five (positive) Xs and one -1. So, we can represent the left with the expression [tex]5x-1[/tex].

On the right, we have six -1s. So, we can represent the right with the expression [tex]-6[/tex].

A)

Since the balance is balanced, we know that the two expressions are equal to each other. So, we can write the equation:

[tex]5x-1=-6[/tex]

B)

Now, we can solve the equation for x. Add 1 to both sides:

[tex](5x-1)+1=(-6)+1[/tex]

The left will cancel. Add on the right:

[tex]5x=-5[/tex]

Finally, divide both sides by 5:

[tex](5x)/5=(-5)/5[/tex]

The left side will cancel. So, the value of x is:

[tex]x=-1[/tex]

Answer:

A)  5x-1=-6

B) x=-1

Step-by-step explanation:

Billy wants to buy a golf cart that costs $12,000. He has already saved $8,500 and will continue to save $100 a week. Write and solve an equation to find the number of weeks, w, he must save until he has enough to purchase the golf cart.

Answers

Answer:

35 weeks

Step-by-step explanation:

12000=8500+100x

8500 from 12000 is 3500.

3500/100 is 35. 35 is x.

to check answer:

(35*100)+8500=

12000

Hi what is the slope of the line on the graph below 1/5 1/3 3 5

Answers

Answer: B (1/3)

Hope this helps

Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.

a. Brand of computer purchased by a customer
b. State of birth for someone born in the United States
c. Price of a textbook
d. Concentration of a contaminant (micrograms per cubic centimeter) in a water sample
e. Zip code
f. Actual weight of coffee in a 1-pound can

Answers

Answer:

Explained below.

Step-by-step explanation:

Categorical variables are those variables that represents certain characteristic or attribute. Such as gender, eye color, age limit and so on.

Numerical variables are variables that assumes numerical values. Such as height, weight, time and so on.

Numerical variables are of two types: Discrete and Continuous.

Discrete variables are those variables that assumes finite whole number values. Such as number of girls in a house, number of children in the nursery and so on.

Continuous variables are those variables that assumes values from a fixed interval. Such as length of screw, amount of payment for donations and so on.

The attributes are classified as follows:

a. Brand of computer purchased by a customer : Categorical

b. State of birth for someone born in the United States : Categorical

c. Price of a textbook : Numerical and Discrete

d. Concentration of a contaminant (micrograms per cubic centimeter) in a water sample : Numerical and Continuous

e. Zip code : Numerical and Discrete

f. Actual weight of coffee in a 1-pound can: Numerical and Continuous

Which of the following explains the relationship between angles A and D

Answers

Answer:

I believe they are vertical angles

Step-by-step explanation:

Vertical angles are angles that are across from each other. They are also equal to each other.

On Monday, 255 students went on a trip to the zoo. All 6
buses were filled and 9 students had to travel in cars. How many students were in each bus ?

Answers

Answer:

41

Step-by-step explanation:

255-9=246

246/6=41 students

Find the lengths of side BC.
Give your answer to 3 significant figures.

Answers

Step-by-step explanation:

The perimeter of a rectangle is the sum of all the sides and the width sides are equal, as well as the two length sides.

For this problem that would mean that two sides are equal to BC and two sides are equal to AB.

Since the perimeter (P)  is equal to 60 , we can write:

P = 2 * BC + 2 * AB

We can substitute the expressions we are given for AB and BC and 60 for the perimeter:

60 =  2 (2z + 3 ) + 2 (3z + 2)

Using the distributive property and combining like terms, we can find the value of the variable , z:

60 = 4z + 6 + 6z + 4

60 = 10z + 10

Subtract 10 from both sides of the equation:

60 - 10 = 10z + 10 -110

50 = 10z

Divide both sides of the equation by 10:

50/10 = 10z/10

5 = z

Since z = 5, then BC is 2z + 3 or 2*5 + 3

BC = 13

Tell me if that's correct!

2/3x -4= -2


A.-3
B.-4
C.-9
D.3

Answers

Answer:

D

Step-by-step explanation:

mark me as brainliest?

Answer:

D. 3

Step-by-step explanation:

if you were trying to find the value of x, heres how i got the answer:

2/3x - 4 = -2

    - add 4 to both sides

2/3x = 2

     - divide both sides by 2/3

x = 3

What is the y-intercept of the line shown?

0
1
3
3.5

Answers

Answer:

-1

Step-by-step explanation:

The line travels through -1, which is the y intercept.

Which of the sums below can be expressed as 7(4 + 9)?
O 28 +9
O 28 +63
07 +63
O 11 + 16

Answers

Answer:

28+63

Step-by-step explanation:

Answer: 28+63

Reason:
First, we need to solve 7(4+9) are also known as 7x(4+9). 4 plus 9 is 13 and multiply by 7 is 91. 28+63 also equals 91.

Hope this helps!

A byciclist travels 1 mile in 5 minutes. If m represents minutes what does the expression m/5 represents

Answers

Answer:

It represents 5 miles in 5 minutes

Step-by-step explanation:

Because, if the bycicleist travels 1 mile in 1 minute, in 5 minutes he traveled 5 miles

why were Europeans so frightened by the Vikings ​

Answers

Answer:

Europeans were so afraid of the Vikings because they raided/ took over parts of their land in Western Europe.

Because they raided in all of their continents and settled there, and also destroyed all of their belongings.

(don't put this part but also because they were swedish)

have a good day/night <3

good luck <3

-Dan

What is the domain of this function? (-6.7, 12)(15,5.2)(1,9)(12,9)

Answers

Answer:

9 is the answdr i think sorry if wronf

Determine the square root for each perfect square.
1. √64
2. √100
3. √81
4. √16
5. \sqrt 4/9
6. \sqrt 1/4

Answers

1.8 2.10 3.9 4.4 5.36 6.0.25

use a model to divide 5/7 divided by 3 Express the answer in simplest form​

Answers

Answer:

5/21

You flip the number 3 which will be "1/3", then you multiply that by 5/7 and you get 5/21

Given expression;

             We are to divide 5/7 by 3;

  Now;

                          [tex]\frac{\frac{5}{7} }{3}[/tex]  

        So;

                    [tex]\frac{5}{7}[/tex]  divided by 3

                 = [tex]\frac{5}{7} x \frac{1}{3}[/tex]

                  = [tex]\frac{5}{21}[/tex]

The solution is     [tex]\frac{5}{21}[/tex]

An oil factory used 2/3 of a tin of
peanuts to prepare 3 drums of peanut
oil. How many tins of peanuts does the
factory use to fill in each drum?

Answers

Answer:16

Step-by-step explanation:

Jim is going from town A to town B.town B is located at (-4,5).he makes a stop at his friends house, which is halfway along the trip.what are coordinated of his top?

Answers

Answer:

Well hm It would help a lot if you told us where town A is on the map or showed us a picture. Could you do that?

Step-by-step explanation:

What are the complete factors of 2x6 –12x4?

Answers

Answer:

-36 is the correct answer .

Step-by-step explanation:

2×6 - 12×4= 12 - 48= -36

mark BRAINLIEST

Thank you ☺️☺️

Answer:48-12= 36

Step-by-step explanation:

So 2 x 6= 12 & 12 x4 = 48

Then you subtract 48-12=36

Many attempts have been made to relate happiness with various factors. One such study relates happiness with age and finds that holding everything else constant, people are least happy when they are in their mid-40s (The Economist, December 16, 2010). Data are collected on a respondent’s age and his/her perception of well-being on a scale from 0 to 100; the data is presented below.

Age Happiness
49 62
51 66
41 67
65 71
84 87
41 60
83 86
18 78
36 59
61 63
15 77
86 90
73 70
32 62
84 93
23 72
52 58
72 73
63 63
30 66
72 78
47 60
88 95
69 72

Required:
a. Calculate the sample correlation coefficient between age and happiness.
b. Interpret the sample correlation coefficient between age and happiness.
c. Draw a scatterplot to evaluate your interpretation of the calculated sample correlation value.

Answers

Answer:

a) 0.572

b) There is moderate positive relationship between  age and happiness.

c)

Scatter plot is attached

Step-by-step explanation:

a)

[tex]Sample correlation coefficient=r=\frac{nsumxy-(sumx)(sumy)}{[nsumx^{2}-(sumx)^2][ nsumy^{2}-(sumy)^2] }[/tex]

Age(x)  Happiness(y)          x²         y²        xy

49     62            2401 3844 3038

51     66            2601 4356 3366

41      67             1681        4489 2747

65    71              4225 5041 4615

84     87             7056 7569 7308

41      60            1681  3600 2460

83     86            6889 7396 7138

18     78             324  6084 1404

36     59            1296 3481 2124

61     63             3721 3969 3843

15     77             225  5929 1155

86    90            7396 8100 7740

73     70             5329 4900 5110

32     62                 1024 3844 1984

84     93              7056 8649 7812

23     72             529  5184 1656

52    58            2704 3364 3016

72     73             5184 5329 5256

63     63             3969 3969 3969

30    66            900  4356 1980

72     78             5184 6084 5616

47     60            2209 3600 2820

88     95               7744 9025 8360

69    72                   4761 5184 4968

sumx=1335

sumy=1728

sumx²=86089

sumy²=127346

sumxy=99485

n=24

[tex]Sample correlation coefficient=r=\frac{24(99485)-(1335)(178)}{[24(86089)-(1335)^2][ 24(127346)-(1728)^2] }[/tex]

Sample correlation coefficient=0.572

b)

Sample correlation coefficient=0.572 shows the moderate positive correlation between age and happiness. As the age increases happiness also moderately increases.

c)

The attached scatter plot shows that the as age increases happiness also moderately increases.

Jack decides to coast to a stop on his bicycle, so he quits pedaling. The table represents his velocity (in meters per second) as a
function of time (in seconds). Which statement best describes the significance of V(t) having a value of zero?

A)
Jack has coasted for 20 seconds
B)
Jack's bicycle will not be moving.
C)
Jack is pedaling his bicycle again
D)
Jack has traveled at least 200 meters

Answers

B i just took this test

Answer:

B if your doing prep

Step-by-step explanation:

math

-10.12 + 51 + 3
212 + 4
Select the true statement

Answers

I think answer should be 20 please give me brainlest let me know if it’s correct or not okay thanks bye

Which of these sentences is always true for a parallelogram?
ОА.
All sides are congruent.
O B.
All angles are congruent.
O C.
The diagonals are congruent.
D.
Opposite angles are congruent.

Answers

Answer:

d

Step-by-step explanation:

when you look at a parallelogram, it could be a rectangle, square, or rhombus. so apply each of these statements to all of these shapes to see if they are true.

a. on a rectangle, not all sides are congruent. cant be that one

b. on a rhombus, not all angles are congruent. cant be that one

c. on a rhombus, the diagonals are not the same length. cant be that one

d. on every parallelogram, the opposite angles are congruent because that is what makes opposite sides parallel

hope this helped :)

Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes
of tagalongs (y). If she made $82 selling cookies, write an equation that
represents the scenario. *

Answers

Answer:

7x+12x=82$

Step-by-step explanation:

Dalyn is selling girl scout cookies. She sold 7 boxes of thin mints (x) and 12 boxes

of tagalongs (y). If she made $82 selling cookies, write an equation that

represents the scenario. *

Write an equation of the line that passes through
(4,-2) and is parallel to the line y = 3x -1.

Answers

Answer:

trump 2020

Step-by-step explanation:

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

find the slope of the line that passes through points (-18,2) and (-18,17)​

Answers

Answer:

there is no slope

Step-by-step explanation:

cause both x variables are the same

What fraction of the student finished in less than 20 minutes?

Answers

Answer:

that depends on the number of students

Answer:

how many kids were involved

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