Question

Jack works after school. Each day he is paid a set amount, plus an hourly wage.

1
Hours
1.5
2
2.5
3
18
23
28
Pay
33
38
Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn?
A. $33
B. $35.50
o
о o
C. $45
D. $53

Answer 1

D. $53

Explanation:

Given the function, f(x) = 10x + 8, representing how much Jack earns working for x hours, if Jack works from 2:30 P.M to 7:00 PM, it means Jack worked for 4 hours 30 minutes, which is 4.5 hours (30 minutes = 0.5 hr).

Therefore, to find out how much he earned working for 4.5 hours, substitute x = 4.5 in
`f(x) = 10x + 8`

`f(4.5) = 10(4.5) + 8`

`f(4.5) = 45 + 8`

`f(4.5) = 53`

✅Jack will earn $53 for working between 2:30 PM and 7:00 PM