Question

The function s(w) = 4w + 40 gives the total number of skateboards a company built w weeks after its office was relocated.

What is the meaning of the y-intercept?


A.No skateboards were built 10 weeks before the office was relocated.


B.The company built a total of 10 skateboards the week its office was relocated.


C.The company built a total of 40 skateboards the week its office was relocated.


D.No skateboards were built 40 weeks before the office was relocated.

Answer 1

Option C. The company built a total of 40 skateboards the week its office was relocated

Explanation:

Let

s ----> the total number of skateboards

w ---> the number of weeks

we have

`s(w)=4w+40`

This is the equation of the line in slope intercept form

where

The slope is
`m=4\ (skateboard)/(week)`

The y-intercept is
`b=40\ skateboard`

Remember that

The y-intercept is the value of the function s when the value of variable w is equal to zero

In the context of the problem

The company built a total of 40 skateboards the week its office was relocated