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

Answer:

$60.

Step-by-step 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

$r=\frac{284-124}{7-2}=\frac{160}{5}=32$

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.