Question

Stephen is making curtains for several windows in his aunt's house. He determines that he needs 8.5 yards of fabric for each window. a. Write an equation to represent the number of yards of fabric needed given a certain number of windows. Answer y = 8.5x b. What is the rate of change in this situation? Answer _______

Answer 1

`(dy)/(dx)=8.5`

Explanation:

Let
`x` denotes number of windows and
`y` denotes the number of yards of fabric needed.

Stephen is making curtains for several windows in his aunt's house. He determines that he needs 8.5 yards of fabric for each window.

a. Equation becomes
`y=8.5x`

This answer is already given in question.

b. To find rate of change in this situation, find
`(dy)/(dx)`

`y=8.5x`

Differentiate with respect to
`x`

`(dy)/(dx)=8.5(1)=8.5`