Suppose that a gallon of paint that covers 250 square feet of wall costs $32.50. For each paint order, the paint store charges a $4 stocking fee. The paint store allows customers to purchase fractional gallons of paint. Let h be the function that determines the number of gallons of paint needed to paint x square feet of wall. Let g be the function that determines the cost (in dollars) of purchasing n gallons of paint. a. Answer each of the following: i. What is the input variable to the function h? Preview ii. What does g(h(x)) represent? OThe cost (in dollars) of purchasing paint to paint x feet of wall. OThe cost (in dollars) of x gallons of paint. The cost (in dollars) of purchasing paint for x square feet of wall. iii. What quantity links the function h and the function g? The number of square feet of wall to be painted. The number of gallons of paint OThe cost g(n) of n gallons of paint. b. Define the function h that determines the number of gallons of paint needed to paint x square feet of wall. 3 Preview c. Define the function g that determines the cost (in dollars) of purchasing n gallons of paint. (Don't forget the stocking fee of $4 per order). g(n)=.13n+4 Preview d. Use g and h to define a function that determines the cost (in dollars) to paint x feet of wall. g(h(x)) Preview
Suppose that a gallon of paint that covers 250 square feet of wall costs $32.50. For each paint order, the paint store charges a $4 stocking fee. The paint store allows customers to purchase fractional gallons of paint. Let h be the function that determines the number of gallons of paint needed to paint x square feet of wall. Let g be the function that determines the cost (in dollars) of purchasing n gallons of paint. a. Answer each of the following: i. What is the input variable to the function h? Preview ii. What does g(h(x)) represent? OThe cost (in dollars) of purchasing paint to paint x feet of wall. OThe cost (in dollars) of x gallons of paint. The cost (in dollars) of purchasing paint for x square feet of wall. iii. What quantity links the function h and the function g? The number of square feet of wall to be painted. The number of gallons of paint OThe cost g(n) of n gallons of paint. b. Define the function h that determines the number of gallons of paint needed to paint x square feet of wall. 3 Preview c. Define the function g that determines the cost (in dollars) of purchasing n gallons of paint. (Don't forget the stocking fee of $4 per order). g(n)=.13n+4 Preview d. Use g and h to define a function that determines the cost (in dollars) to paint x feet of wall. g(h(x)) Preview
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 11CYU
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Transcribed Image Text:Suppose that a gallon of paint that covers 250 square feet of wall costs $32.50. For each paint order, the paint store charges a $4 stocking fee.
The paint store allows customers to purchase fractional gallons of paint. Let h be the function that determines the number of gallons of paint
needed to paint x square feet of wall. Let g be the function that determines the cost (in dollars) of purchasing n gallons of paint.
a. Answer each of the following:
i. What is the input variable to the function h?
Preview
ii. What does g(h(x)) represent?
OThe cost (in dollars) of purchasing paint to paint x feet of wall.
OThe cost (in dollars) of x gallons of paint.
The cost (in dollars) of purchasing paint for x square feet of wall.
iii. What quantity links the function h and the function g?
The number of square feet of wall to be painted.
The number of gallons of paint
OThe cost g(n) of n gallons of paint.
b. Define the function h that determines the number of gallons of paint needed to paint x square feet of wall.
3
Preview
c. Define the function g that determines the cost (in dollars) of purchasing n gallons of paint. (Don't forget the stocking fee of $4 per order).
g(n)=.13n+4
Preview
d. Use g and h to define a function that determines the cost (in dollars) to paint x feet of wall.
g(h(x))
Preview
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