Question

Write a function rule for the table.

Answer 1

Answer:

$p=5.75 h$

Step-by-step 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

$\frac{23- 11.50}{4-2} =5.75$

$\frac{34.50-23}{6-4} =5.75$

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

$p=5.75 h$

Answer 2

The correct response is d)p=5.75h