Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

This is equivalent to:

Substitute:

Distribute:

Rearrange:

Hence:

Answer:
A goes through the points
Step-by-step explanation:
Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:

- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:

So, we have:



Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:

Where:
m =Rate = 9.0
So, we have:

Expand


Represent as a function

Hence, the function that models the table is: 
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:


Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
brainly.com/question/23184115
In a quadratic function you square x so I'd assume that's what they want.
That means the values of f(x) would be:
9
1
1
9
25