Question

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?

Answer 1

`B.-240`

Bob got that by calculating the change amount of money in Imamu's account after
`(1)/(3)` of a year (4 months).

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
`(2)/(3)` of a year represents:

`(12\ months)((2)/(3))=(24\ months)/(3)=8\ months`

Now, in order to find the change amount of money in his account after
`(2)/(3)` (8 months), you must solve the following multiplication:

`(-30)(8)=-240`

Bob chose
`-120` (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
`(1)/(3)` of a year (4 months).