Answer:
[tex]p=5.75 h[/tex]
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
[tex]\frac{23- 11.50}{4-2} =5.75[/tex]
[tex]\frac{34.50-23}{6-4} =5.75[/tex]
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
[tex]p=5.75h +b[/tex]
Now we find out b. use the first row. h=2, p=11.5
[tex]11.50=5.75(2) +b[/tex]
[tex]11.50=11.50 +b[/tex]
Subtract 11.50 on both sides
b=0
So function rule is
[tex]p=5.75 h[/tex]
