Q:

Imamu pays $30 each month for his gym membership. What is the change amount of money in his account after 2/3 of a year? A.-120 B.-240 C.-270 D.-360 Bob chose A as the correct answer. How did he get that answer?

Accepted Solution

A:
Answer: [tex]B.-240[/tex] Bob got that by calculating the change amount of money in Imamu's account after [tex]\frac{1}{3}[/tex] of a year (4 months). Step-by-step explanation: You know that Imamu pays $30 each month for his gym membership. Since there are 12 months in a year, you can find the the number of months that [tex]\frac{2}{3}[/tex] of a year represents: [tex](12\ months)(\frac{2}{3})=\frac{24\ months}{3}=8\ months[/tex] Now, in order to find the change amount of money in his account after [tex]\frac{2}{3}[/tex] (8 months), you must solve the following multiplication: [tex](-30)(8)=-240[/tex] Bob chose [tex]-120[/tex] (Option A) as the correct answer, but that is incorrect, because he got it by calculating the change amount of money in Imamu's account after [tex]\frac{1}{3}[/tex] of a year (4 months).