A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=25000+3000x,f(x)=25000+3000x, where xx is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.
Answers
The values of the function are,
f (- 3) = 16,000 meaning a qualifying applicant with - 3 siblings in their household would get $16,000 in financial aid. This interpretation does not make sense in the context of the problem.
f (3) = 34,000 meaning a qualifying applicant with 3 siblings in their household would get $34,000 in financial aid. This interpretation makes sense in the context of the problem.
The domain for this function is x ≥ 0, indicating that the number of siblings must be a non-negative whole number or zero.
Given that,
The function is,
[tex]f (x) = 25000 + 3000x[/tex]
Where x is the number of siblings.
Hence, the values of the function are found as,
[tex]f (x) = 25000 + 3000x[/tex]
Put x = - 3;
[tex]f (- 3) = 25000 + 3000 \times - 3[/tex]
[tex]f (- 3) = 25000 - 9000[/tex]
[tex]f (- 3) = 16,000[/tex]
Put x = 3;
[tex]f (x) = 25000 + 3000x[/tex]
[tex]f (3) = 25000 + 3000 \times 3[/tex]
[tex]f ( 3) = 25000 + 9000[/tex]
[tex]f (3) = 34,000[/tex]
Since the given function is,'
[tex]f (x) = 25000 + 3000x[/tex]
Regarding the domain of the function,
Since the number of siblings (x) must be a non-negative integer, it represents the count of individuals.
Therefore, the appropriate domain for this function would be x ≥ 0, meaning x can be any non-negative whole number or zero.
To learn more about the function visit:
https://brainly.com/question/11624077
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For the given question some parts of the question are shown in the attached image.
Related Questions
how to solve number 16
Answers
Answer:
T < -19
Step-by-step explanation:
-6 > t + 13 ( neg & neg = positive)
- 6 - 13 > t
-19 > t
A runner runs at an average speed of 5 m/s for 50 seconds.
How far did the runner run in metres?
Answers
Answer:
He has ran 250 metres.
Step-by-step explanation:
Since he runs 5 meters per second, you would obviously multiply 50 times 5, which is 250.
Answer:
250 meters
If you do 5 x 50 you will get how far the runner ran because I mean that's how averages work, I really hope this helped!
Given (x - 1)2 = 50, select the values of x.
x = -49
X = 51
x= 1+5VE
x-1-52
Answers
Answer:
x = 26
Step-by-step explanation:
(x - 1) 2 = 50
or, 2x - 2 = 50
or, 2x = 50+2
or, 2x = 52
or, x = 52/2
or, x = 26
hence, x = 26
Which are equal to the
product?Check all that apply.
3 2/5 x 1/2
17/5
17/10
1 5/7
1 7/10
3 2/5
Answers
Answer:
17/5x1/2=17/10
Step-by-step explanation:
improper fraction---17/10
(1 7/10)[into mixed fraction
70.5 rounded to the nearest whole number
Answers
Answer:
71
Step-by-step explanation:
the fractional part is 5 and 5 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get the answer Therefore, we add 1 to the integer part and remove the fractional part to get 70.5 rounded to the nearest whole number which is 71
Three more than twice a number is less than negative nineteen. Solve the inequality for the unknown number.
Answers
Answer:
-12.5
Step-by-step explanation:
You wanna do it inverse backwards
-19 divided 2 = -9.5
-9.5 minus 3 = -12.5
Can you please tell me What is 25x4
Answers
Answer:
The answer is 100
Step-by-step explanation:
What percent of 300 is 67?
Answers
Determine the difference in area between circle A and circle B
Answers
[tex]π \times ({15})^{2} - π \times ({6})^{2} = [/tex]
[tex]π \times ( {15}^{2} - {6}^{2}) = π \times (225 - 36) = \\ [/tex]
[tex]189π[/tex]
what is the difference between -4 and 6
Answers
Answer:
-10
Step-by-step explanation:
you just subtract -4 by 6 and get -10
Answer:10
Step-by-step explanation: Because -4 is four numbers away from zero, and Then add that to six.
12=3y-y+4y
i know that y=2 but i need to know the step by steps
Answers
Answer:
This is my best explanation
Step-by-step explanation:
3y-y=2y
2y+4y=6y
Now you need to divide 12 by 6 to get the value of y
That will be 12/6=2
So, y=2
Have a nice day.
Answer:
Step-by-step explanation:
12 = 3y - y + 4y
combine ys
3- 1 = 2
12 = 2y +4y
12 = 6y
divide,
12/6
y=2
Channelside Boat Rental Shop charges 100 dollars plus 25 dollars an hour for renting an electric boat. John paid 225 dollars to rent a boat. How many hours did he have the boat checked out?
Answers
Answer:
1 hour and 45 mins
Step-by-step explanation:
I am not sure I am right but I think I am
Hope this helps!
Answer:
1 hour and 25 minutes
Step-by-step explanation:
Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
6: no
7: no
-9: yes
-2: no
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answers
Answer:
14. B15. BStep-by-step explanation:
14...................................
11 2/3 pages in 15 minutes
35/3 ⇔ 1535/3 ÷ 15 ⇔ 15÷1535/45 ⇔ 17/9 ⇔ 17/9 pages per min
Option B
15....................................
5 2/3 meters in 1/3 hours
17/3 ⇔ 1/3 17 ⇔ 117 meters per hourCorrect option is B
Answer:
14. B
15. B and D
Step-by-Step Explanation:
Question 14:
11 2/3 ÷ 15
35/3 * 1/15
35/45
7/9
Therefore, the answer is B.
Question 15:
We need to divide to find the unit rate. 5 2/3 ÷ 1/3
17/3 * 3/1
51/3
17
Find the length if Farrah walks 1/5 of an hour.
1/5 * 17 = 3 4/5
Therefore, the answer is B and D.
Best of Luck!
At present, the highest peak of the Appalachian Mountains is 6,684 feet. Millions of years ago, before weathering and erosion had occurred, the highest peak was about 30,000 feet. What is the difference between the highest peak millions of years ago and the highest peak today? Explain how you know your answer is reasonable. Enter the correct numbers in the boxes to show the answer and to complete the explanation.
Answers
Answer:
23316ftStep-by-step explanation:
in this problem, we are expected to solve for the change in height of the Appalachian Mountains
given that
the initial height was = 30,000 feet.
the current height is=6,684 feet.
Due to erosion the change/difference in height is give as
change/difference=30000 -6684
change/difference=23316ft
this means that for millions of years ago 23316ft of Appalachian Mountains have been eroded
Help me solve this problem please
Answers
Answer:
b
Step-by-step explanation:
Given that f (x) = 4x – 5 and g(s) = 3x, write a function that represents g (f(x)). Show your
work
Answers
12 meters in 28 seconds as a unit rate
Answers
There are 6 triangles and 4 circles. What is the simplest ratio of circles to total shapes?
Answers
Answer:
2:5
Step-by-step explanation:
Have a good day!
Answer:
6:10 but 3:5 simplified
Write and solve an equation to answer the following question. The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?
a. 790 mi
b. 1580 mi
c. 395 mi
d. 3820 mi
Answers
Answer:
1580 miles
Step-by-step explanation:
We can represent the total cost for the rental with the equation d=560+0.5m where d is the cost and m is the miles driven. We know this equation works as 560 is the fixed cost, and it costs $0.5 per mile, and in math, "per" means multiplication.
Now we can solve for m as we know that d=1350 in this case.
Solving we get:
1350=560+0.5m
790=0.5m
1580=m
Thus, they drove 1580 miles.
The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is twenty less than angle A. Write and solve a system of equations using substitution. Write and solve a system to determine the measure of angles A, B, and C.
Answers
Answer:
[tex]A = \frac{220}{3}[/tex]
[tex]B = \frac{160}{3}[/tex]
[tex]C = \frac{160}{3}[/tex]
Step-by-step explanation:
Given
[tex]A + B + C = 180[/tex]
[tex]B = C[/tex]
[tex]B = A- 20[/tex]
Required
Solve for A, B and C
The equation binding A, B and C have been written out (above)
Substitute C for B in [tex]A + B + C = 180[/tex]
[tex]A + B + B = 180[/tex]
[tex]A + 2B = 180[/tex]
Substitute A - 20 for B
[tex]A + 2(A - 20) = 180[/tex]
[tex]A + 2A - 40 = 180[/tex]
[tex]3A - 40 = 180[/tex]
Solve for 3A
[tex]3A = 180 + 40[/tex]
[tex]3A = 220[/tex]
[tex]A = \frac{220}{3}[/tex]
Solve for B in [tex]B = A- 20[/tex]
[tex]B = \frac{220}{3} - 20[/tex]
[tex]B = \frac{220 - 60}{3}[/tex]
[tex]B = \frac{160}{3}[/tex]
Recall that [tex]B = C[/tex]
[tex]C = \frac{160}{3}[/tex]
Dylan is playing with a see-saw on the playground. He puts a piece of tape at specific distances from the center of the see-saw so that there ratio of the distance between the center and the tape and the distance between the center and the right end is always a common fraction. Dylan then records the relationship between the height of the tape and the height of the left end of the see-saw, relative to a neutral position.
Use the pattern you observe in the table below to correctly complete Dylan’s conjectures.
distance from center to tapedistance from center to right end
height of tape
(centimeters)
height of left end
(centimeters)
12
−1
2
12
2
−4
13
−2
6
13
1.5
−4.5
If the tape is placed at 13 of the distance between the center and right end, when the left end is at a height of 18 centimeters, relative to a neutral position, the tape will be at a height of
centimeters, relative to a neutral position.
If the tape is placed at 14 of the distance between the center and right end of the see-saw, then the height of the left end will be
times the height of the tape, relative to a neutral position.
Answers
Answer:
wait is there a pic
if there is i need that
Step-by-step explanation:
Question in the pic
Answers
Answer:
y= 2/3x -1
Step-by-step explanation:
1. b = -1
2. slope = 2/3
The fraction model below the steps that a student performed to find a quotient. Which statement best interprents the quotient.
Answers
Answer:
7436947
Step-by-step explanation:
Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign.
Answers
Answer:
6.2
Step-by-step explanation:
Use the formula for calculating compound interest PN=P0(1+rk)Nk where r is the unknown, PN=2275, P0=1900, k=1, and N=3. Substitute the values into the formula and simplify.
2275=1900(1+r1)3⋅1
Let's simplify within the parenthesis and the exponent.
2275=1900(1+r)3
Divide both sides by 1900.
22751900=(1+r)3
To isolate the variable, take the cube root of each side.
22751900−−−−−√3=1+r
Subtract 1 from each side to get r by itself.
22751900−−−−−√3−1=r
Simplify for an answer of r≈0.062 which is the interest rate 6.2%.
Give the domain and range of each relation. tell wether the relation is a function. Explain.
Answers
Answer:
See below
Step-by-step explanation:
Given relations
Answer to each question below
1..................................
Domain: [0, 4]
Range: [0, 4]
Function? Yes
Explanation: Each input has exactly one output
2..................................
Domain: {8, 9}
Range: {-3, -4, -6, -9}
Function? No
Explanation: Each input has more than one output
3..................................
Domain: {0, 1, 2}
Range: {4, 5, 6, 7, 8}
Function? No
Explanation: Some inputs have more than one output
Diego scored 100 points less than Maria on a game. Maria scored 850 points on the game. Which expression shows the number of points Diego scored?
A. 850+100
B. 850 -100
C. 85+100
D. 85-100
Answers
Answer:
B. 850-100
Step-by-step explanation:
Less than means you should take away (subtract). Since Diego scored less than Maria you are taking the number of points Diego got away from Marias points. So it would be 850 take-away 100, or 850-100.
Explain because i have to show my work please and thank you
Answers
Answer:
D.) [tex]y=19.99x+30[/tex]
Step-by-step explanation:
x represents the hours. The magician charges $19.99 per hour. "Per" means multiplication, so:
[tex]19.99*x[/tex]
[tex]19.99x[/tex]
adding the travel and miscellaneous expense:
[tex]19.99x+30[/tex]
This represents the total charge, represented by y:
[tex]y=19.99x+30[/tex]
:Done
Marco runs 22 miles in four hours. What is his unit rate?
Answers
Answer:
5.5
Step-by-step explanation:
Scott is making a dip that has 3 5 of a teaspoon of garlic for every 1 2 of a teaspoon of hot sauce. What is the unit rate of garlic to hot sauce in the dip? 1 3 5 teaspoons of garlic per teaspoon of hot sauce 5 6 teaspoon of garlic per teaspoon of hot sauce 1 1 5 teaspoons of garlic per teaspoon of hot sauce 2 3 teaspoon of garlic per teaspoon of hot sauce
Answers
Answer:
1/ 1 5 teaspoons of garlic per teaspoon of hot sauce
Step-by-step explanation:
Scott is making a dip that has 3 /5 of a teaspoon of garlic for every 1 /2 of a teaspoon of hot sauce.
3/5 teaspoon of garlic = 1/2 teaspoon of hot sauce
1/2 teaspoon of hot sauce = 3/5 teaspoon of garlic
1 teaspoon of hot sauce =
= 1 × 3/5 ÷ 1/2
= 3/5 ÷ 1/2
= 3/5 × 2/1
= 6/5
= 1 1/5 teaspoon of garlic.
Therefore, the unit rate of garlic to hot sauce in the dip is:
1/ 1 5 teaspoons of garlic per teaspoon of hot sauce