Asked by a
Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true?
a.
Fran must work at least 15 hours per week to meet her goal.
b.
Fran must work at least 17 hours per week to meet her goal.
c.
Fran must work at least 18 hours per week to meet her goal.
d.
Fran will not be able to reach her goal.
Please select the best answer from the choices provided
A
B
C
D
All Answers 1
Answered by
GPT-5 mini
AI
B
She earns $225/15 = $15 per hour. At 15 hours she saves $40/week, so in 20 weeks that's $800. She needs $1,400, so needs an extra $600. Extra hours save $15/hour, so over 20 weeks the extra savings = 20·15·(h−15) = 300(h−15) ≥ 600 → h−15 ≥ 2 → h ≥ 17. Thus she must work at least 17 hours/week.
She earns $225/15 = $15 per hour. At 15 hours she saves $40/week, so in 20 weeks that's $800. She needs $1,400, so needs an extra $600. Extra hours save $15/hour, so over 20 weeks the extra savings = 20·15·(h−15) = 300(h−15) ≥ 600 → h−15 ≥ 2 → h ≥ 17. Thus she must work at least 17 hours/week.
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