Question

A gravel company sells gravel by the cubic yard and charges a flat delivery fee. The table shows the total cost C based on the amount of gravel in cubic yards g

What is the flat delivery fee (with 0 cubic yards of gravel) in dollars and cents?

Attachment below

Answer 1

$60.

Explanation:

The cost for 0 cubic yards of gravel refers to the y-intercept of the function.

First, we find the constant ratio of change

`r=(284-124)/(7-2)=(160)/(5)=32`

The constant ratio of change is 32, that means the cost per cubic yard of gravel is $32.

Now, we just subtract this ratio twice to find the relations until we have x = 0.

`124 -32= 92`

So, for 1 cubic yard, the cost is $92.

`92-32=60`

For 0 cubic yards, the cost is $60, that's the y-intercept or the initial condition.

Therefore, the answer is $60.