Question

Angela earns $8 for every hour she works at her job. The amount of money Kelly earns at her job is modeled by the function f(t) = 15t, where t represents hours worked. Angela and Kelly both worked 38 hours last week. Which statement accurately describes the amount of money Angela and Kelly earned last week?

A. Angela and Kelly both earned $76 last week.
B. Angela earned $38, and Kelly earned $57 last week.
C. Angela and Kelly both earned $114 last week.
D. Angela earned $304, and Kelly earned $228 last week.

Answer 1

Angela earned $304 and Kelly earned $570 after both worked 38 hours last week. They were paid different hourly rates, with Angela earning $8 per hour and Kelly's earnings modeled by the function f(t) = 15t.

To determine the amount of money Angela and Kelly earned last week, we need to calculate their respective earnings based on the given hourly rates and hours worked. For Angela, who earns $8 per hour, her weekly earnings can be calculated as:

Angela's earnings = hourly rate × hours worked = $8/hour × 38 hours = $304.

For Kelly, the earnings are modeled by the function f(t) = 15t, where t represents the hours worked. Plugging in the hours worked:

Kelly's earnings = f(t) = 15t = 15 × 38 = $570.

In conclusion, statement D accurately describes the amount of money Angela and Kelly earned last week, with Angela earning $304 and Kelly earning $570.