Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Function A has a rate of change of –5 and Function B has a rate of change of –4.5, so Function A has a greater rate of change. Function A has a rate of change of 5 and Function B has a rate of change of 4.5, so Function A has a greater rate of change. Function A has a rate of change of 5 and Function B has a rate of change of 4.5, so Function B has a greater rate of change. Function A has a rate of change of –5 and Function B has a rate of change of –4.5, so Function B has a greater rate of

Answers

Answer 1

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

[tex]\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}[/tex]

Function B:

[tex]y = -4.5x + 15[/tex]

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1.5,5)[/tex]

[tex](x_2,y_2) = (2.5,0)[/tex]

So, we have:

[tex]m = \frac{0-5}{2.5 - 1.5}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

For function B

The general function is:

[tex]y = mx + b[/tex]

Where

m is the rate of change

By comparing [tex]y = mx + b[/tex] to [tex]y = -4.5x + 15[/tex]

[tex]m = -4.5[/tex]

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.


Related Questions

A shoe store uses a 50 percent markup for all of the shoes it sells . What would be the selling price of a pair of shoes that has a wholesale cost of 65$

Answers

Answer:

97.50

Step-by-step explanation:

65.00x50%=32.50

32.50+65.00=97.50

Answer:

/

Step-by-step explanation:

According to the college board, the mean quantitative SAT scores score for female college board high school seniors in 2009 was 500. SAT scores are approximately Normally distributed with a population standard deviation of 100.A scholarship committee wants to give awards to college bound women who score at the 96th percentile or above on the SAT. what score does an applicant need? Include a well-labeled Normal curve as part of your answer (in the book it says there are 7 steps the 7th being a sentence to state what you found)

Answers

4.5 is correct So you can just copy that

Factor using GCF and Area Model: 2x^2+34x+140

Answers

Answer:

The Greatest Common Factor is 2

Sandra wrote the sequence shown:
7, 14, 25, 40, 59
Complete each of the 2 activities for this Task.
Activity 1 of 2
What explicit expression can be used to find the nth term of this sequence?

Answers

Answer:

2n^2 + n + 4.

Step-by-step explanation:

7, 14, 25, 40, 59

The differences  are 7, 11, 15, 19 which is  arithmetic sequence so the given sequence is quadratic.

Compile a table:

n                     1      2      3      4      5

term               7    14    25    40    59

Diff:                    7      11     15     19

Diff:                      4       4      4            - this indicates that first part is 2n^2.

2n^2               2    8    18    32     50

term-2n^2      5    6    7     8        9

- the nth term for the last sequence is  5+ (n - 1)d =  

= 5 + (n - 1)* 1

= n + 4.

So nth term for the original sequence is 2n^2 + n + 4.

14/17 as a decimal to the nearest tenth

Answers

Answer:

.8

Step-by-step explanation:

14/17 as a decimal is 0.82352941176

we only need to know what its the hundredths and tenths place so we then just round to thenearest tenth so 2 is less than 5 so 8 stays the same therefor out answer is .8

Can someone plz help me

Answers

Answer:

28 in

Step-by-step explanation:

Given is an isosceles triangle.

In an isosceles triangle, measure of the sides opposite to the equal angles are equal.

Therefore,

3x + 2 = x + 6

3x - x = 6 - 2

2x = 4

x = 4/2

x = 2 in

x + 6 = 2 + 6 = 8

Perimeter of the triangle

= 8 + 8 + 12

= 28 in

18 – x = 12

Please help ma

Answers

Answer:

x = 6

My Step-by-step explanation:

You can solve this problem through simple inspection. Because 18 – 6 = 12,

x= 6.

Answer: I don’t think this has a solution but

Step-by-step explanation:

Cisco is building a container for his plants. It is made out of a cube and two cylinders. He plans to paint each surface but cuts off the top of the two cylinders. He also wants to reinforce all the edges before putting it together. Which one is greater, the number of surfaces he has to paint, or the number of edges he has to reinforce

Answers

Answer:

Neither

Step-by-step explanation:

In the context, Cisco is building container for the plant which is made up of one cube and two numbers of cylinders. He wants to paint each of the surfaces of the figure but he cuts off the top of two cylinders. Thus neither of the surfaces are greater as Cisco has two cylinders or surfaces and a cube or a point that he cuts the two cylinders and now that he has four surfaces and a cube that has four points.

Which situations can be represented by an exponential function?

Select each correct answer.



The value of a vehicle decreases by 11% each year.
In a structure made of bricks, each row has 10 more bricks than the previous row.
A dentist's office accepts 15 new patients each month.
Every year, the number of online video subscriptions increases by 3 times what is was the previous year.

Answers

Answer:

The answer is IC and D I just finished the text

Step-by-step explanation:

Haley made 88% on a history test. The
test had 50 questions of equal point value.
How many questions did Haley miss?

Answers

Answer:

She missed 6 questions.

Step-by-step explanation:

88% can be written as (88/100) or as 0.88.

You can set this as a ratio problem which is,  

88/100 = correct/50

correct = (88/100)*50       (multiply both sides by 50)

correct = 44

So, 50 (total questions) - 44 = 6 incorrect questions

A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start-up fee and monthly charge) to use the
cell phone plan for 3 months? *
O $150
$200
O $350
$750

Answers

Answer:

750

Step-by-step explanation:

200+50=250

250x3+750

Answer: $750

Step by step explanation:

Find the area of the composite figure.

Answers

36 I believe is the answer

Have a good day

Answer:

144

Step-by-step explanation:

Help me ASAP pleaseeee

Answers

Answer:

no

yes

no

yes

Step-by-step explanation:


Which of the following graphs could describe the system of equations?
A Blue
B Green
C Pink
D Purple

Answers

Answer:

The answer is...

Step-by-step explanation:

Purplea

Simplify the following expression completely
(5x4+5x3-17x2+6x)-(3x4+6x3-7x2-12)/x+2



Please show your work

Answers

Answer:

6x^2+3x-4/x

Step-by-step explanation:

first multiply to get (20+5x3-17x2+6x)-3x4+6x3-7x2-12/x+2

then remove the two opposites that add up to zero to get (20+15-34+6x)-6x3-7x2/x+2

then remove unnecessarry parentheses to get 1+6x-18-14/x+2 and then calculate to get 3+6x-4/x

then write all of the numerators above the common denominator to get 3x+6x^2-4/x and reorder the terms to get your solution which is 6x^2+3x-4/x

please give brainliest it took forever lol

THIS IS URGENT

Simplify 5^3/4 divided by 5^5/9 by substituting a numerical value for a in the expression.

5^a

Answers

Answer:

a=7/36...............

what is the circumference of a circle that that is d=23 ft.

Answers

72.26 is the answer I think

Answer:

72.26ft

Step-by-step explanation:

Urgent please!!! I really don’t understand it, tysm to anyone who can answer thissss :))))

Answers

Given:

The frequency distribution table.

To find:

The mean average score on a test.

Solution:

The frequency distribution table is

[tex]Marks (x_i)[/tex]                   [tex]Frequency(f_i)[/tex]                  [tex]f_ix_i[/tex]

     x                                     a                               xa

     y                                     b                               yb

     z                                     c                               zc

  Sum                              a+b+c                          xa+yb+zc

Now, the mean average score on the test is

[tex]Mean=\dfrac{\sum f_ix_i}{\sum f_i}[/tex]

[tex]Mean=\dfrac{xa+yb+zc}{a+b+c}[/tex]

Therefore, the mean average score on the test is [tex]\dfrac{xa+yb+zc}{a+b+c}[/tex].

Can someone answer this please: 37.3 rounded to the nearest integer

thank you <3​

Answers

Answer:37

Step-by-step explanation:

rounding to the nearest integer is what is in the tenth place so .1 is in the tenth place so 37.3 rounded to the nearest tenth place would be 37

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

Answers

Answer:

20%

Step-by-step explanation:

Mr. And Mrs. Jenkins wanted to make a down payment of $25,000 on a house. If the house costs $125,000, what percent is this?

The Percentage of the down payment is given as:

Down payment/Cost of the house × 100

Down payment = $25,000

Cost of the house = $125,000

$25,000/$125,000 × 100

= 20%

The percentage is 20%

WILL GIVE BRAINLIEST AND 20 POINTS!
Find the LCM.
11, 13
STEP 1: Define the LCM (least common multiple).
The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the numbers.
The LCM can be found by first writing each number as a product of prime factors.
The LCM must contain all the prime factors of each number.

STEP 2: Determine the prime factorization of each number.
Determine the prime factorization of 11.
11 =


Determine the prime factorization of 13.
13 =


STEP 3: Multiply all of the prime factors.
11 ×
=
LCM =

Answers

Answer:

143...is the lcm...

Step-by-step explanation:

lcm (11; 13) = 143: least common multiple, calculated. Numbers have no common prime factors: 143 = 11 × 13...................

find the distance of a cord 8cm from the centre of a circle of a radius 5 cm​

Answers

Answer:

d = 3 cm

Step-by-step explanation:

Given that,

The distance of a cord, c = 8 cm

The radius of the circle, r = 5 cm

Half of the cord = 4 cm

We need to find the distance of a cord from the centre of the circle. We can find it using Pythagoras theorem,

[tex]5^2=d^2+4^2\\\\d^2=25-16\\\\d=3\ cm[/tex]

So, the required distance is 3 cm.

WORTH 67 PTS!! I WILL GIVE BRAIBLIEST!
Write an expression that is equivalent to
3/4a + 2/3 - 1/2a - 1/3 + 1/2a

3/4a + 2/3 - 1/2a - 1/3 + 1/2a
= _a + _


Answers

Answer:

7/4a + 1/3

1 3/4a + 1/3

Step-by-step explanation:

Answer:

1 3/4AN + 1/3

Step-by-step explanation:

There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.

Answers

female students = 16/39
to get a percentage: (16/39)x100
percentage = 41%
the percentage is 41%

the value of y is proportional to x when x=3 then y=15 which equation represents the relationship between x and y?​

Answers

Answer:

explaination

Step-by-step explanation:

# carry on learning

The solution is, A. y = 5x, the equation represents the relationship between x and y.

What is equation?

An equation can be stated as a  mathematical statement that is made up of two expressions connected by an equal sign.  In its normal form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Direct proportion equation:

y = kx, where k is the coefficient of proportionality

We have:

x = 3 and y = 15

Using the equation to find the value of k:

15 = 3k

k = 15/3

k = 5

The equation of the line:

y = 5x

Correct choice is A

Hence, The solution is, A. y = 5x, the equation represents the relationship between x and y.

To learn more on equation click:

brainly.com/question/24169758

#SPJ6

PLZ HELP DUE SOON!!!!!!!!!!!!!!!!
The figure shows a carpeted room. How many square feet of the room are carpeted?

A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 6 feet. The side on the left is labeled 8 feet. The base is labeled 2 feet, and the side adjacent to it on the right is labeled 3 feet

24 square feet
28 square feet
34 square feet
36 square feet

Answers

Answer:

36 ft

Step-by-step explanation:

Side = 8-3 = 5

6 x 5 = 30

3 x 2 = 6

The answer choices are:

Y=-4
Y=1
X=-4
X=1

Answers

Answer:

y=1

Step-by-step explanation:

what is the value of the 8 in 5.349 in decimals​

Answers

0.08 in decimals !


sorry if it’s wrong but I hope this helped <33

tysm for all your help Here is a crown and points. contest the first answer will get a mark

Answers

WWWWWWWWWWWWWHHHHHHHHHHHHHHHHHHHHAAAAAAAAAAAAAAAAAAAAATTTTTTTTTTTTTTTTTT

Answer:

AHH

Step-by-step explanation:

Please help ASAP! Due in 10 mins

Answers

Answer:

C : The coefficients and constants will always be the same

Step-by-step explanation:

This is because infinitely many solutions means that the lines are both right on top of each other and there is not an intersection.

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