sheila has a plan to save $45 a month for 18 months so that she has $810 to remodel her bathroom. after 13…
sheila has a plan to save $45 a month for 18 months so that she has $810 to remodel her bathroom. after 13 months sheila has saved $510. if the most sheila can possibly save is $70 per month, which of the following statements is true? a. sheila will meet her goal and does not need to adjust her plan. b. sheila must save $50 per month to achieve her goal. c. sheila must save $60 per month to achieve her goal. d. sheila will not be able to achieve her goal. please select the best answer from the choices provided
Answer
Explanation:
Step1: Calculate remaining months
The total number of months is 18 and 13 months have passed. So the remaining months $n = 18 - 13=5$.
Step2: Calculate remaining amount
The goal is $810$ and she has saved $510$. So the remaining amount $A = 810 - 510 = 300$.
Step3: Calculate required monthly - savings
To find out how much she needs to save per month for the remaining 5 months, we use the formula $x=\frac{A}{n}$, where $x$ is the monthly - savings. So $x=\frac{300}{5}=60$. Since the most she can save is $70$ per month and $60\leq70$, she can achieve her goal by saving $60$ per month.
Answer:
C. Sheila must save $60 per month to achieve her goal.