fran brings home $225 per week working 15 hours of which she is able to save $40. fran wants to have $1,400…

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.

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.

Answer

Explanation:

Step1: Calculate current 20 - week savings

She currently saves $40 per week. In 20 weeks, she saves $40\times20 = 800$.

Step2: Calculate remaining savings needed

She wants to save $1400$. So she still needs $1400 - 800=600$.

Step3: Calculate her hourly wage

She earns $225 for 15 hours of work. Her hourly wage is $\frac{225}{15}=15$ dollars per hour.

Step4: Calculate extra hours needed per week

She has 20 weeks to save the remaining $600$. So she needs to save $\frac{600}{20} = 30$ dollars per week from extra - hours. Since her hourly wage is $15$ dollars per hour, she needs $\frac{30}{15}=2$ extra hours per week. So she must work $15 + 2=17$ hours per week.

Answer:

B. Fran must work at least 17 hours per week to meet her goal.