Question

Write a function rule for the table.

Answer 1

The correct response is d)p=5.75h

Answer 2

`p=5.75 h`

Explanation:

Let hours worked be h and p represents the pay

To find function rule, lets find the difference between the pay divide by difference in hours

`(23- 11.50)/(4-2) =5.75`

`(34.50-23)/(6-4) =5.75`

There is a constant difference, so we use linear equation y=mx+b

Use h for x and p for y. slope m is 5.75

`p=5.75h +b`

Now we find out b. use the first row. h=2, p=11.5

`11.50=5.75(2) +b`

`11.50=11.50 +b`

Subtract 11.50 on both sides

b=0

So function rule is

`p=5.75 h`