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).