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SAT® Math

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Savings From a Job

SATMAT-1TNM1E

After beginning a part-time job, a high school student decided to begin saving money in a savings account. She began by saving the same amount each month, until she received a raise after completing $7$ months at this job. She then decided to increase her savings per month for each month after that. The equation shown below describes her total savings, $ T $, in dollars after $ m $ months of working at this job, where $ m\geq 7 $.

$$ T = 50m + 25 (m - 7) $$

Which of the following is a correct statement about this equation?

A

Starting at $7$ months, the total in the savings account is increasing by ${\$25}$ per month.

B

Starting at $7$ months, the total of the savings account is increasing by ${\$75}$ per month.

C

Starting at $7$ months, the amount saved per month is increasing by ${\$25}$ per month

D

Starting at $7$ months, the total of the savings account is $25$ times more than it was at the end of the previous month.