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

Answer:

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

Step-by-step 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 $m=4\ \frac{skateboard}{week}$

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