Question

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 will meet her goal working 15 hours per week.
b.Fran must work 17 hours per week to meet her goal.
c.Fran must work 18 hours per week to meet her goal.
d.Fran will not be able to reach her goal.

Answer 1

Fran will meet her goal working 15 hours per week.

Step-by-step explanation:

To determine if Fran will meet her savings goal, we need to calculate her total savings at the end of 20 weeks. Fran saves $40 per week working 15 hours, so in 20 weeks, she will save $40 * 20 = $800. To reach her goal of $1,400, Fran needs to save an additional $1,400 - $800 = $600. Fran can work up to 18 hours per week and save all the money earned from the extra hours. Fran earns $225 per week, so if she works 18 hours per week for 20 weeks, she will earn $225 * 20 = $4,500. This means Fran can save $4,500 - $800 = $3,700 from the extra hours. Since $3,700 is greater than $600, it is true that Fran will meet her goal by working 15 hours per week.