A student's savings account balance changed from $1,140 on March 15 to $1,450 on August 15. Which of the following amounts is the average rate of change per month in their account?

Rationale

$52 is the average rate of change per month in the student's account.

The average rate of change is calculated by subtracting the initial amount from the final amount and then dividing by the number of periods (in this case, months). The student's initial balance was $1,140 and final balance was $1,450, making for a total change of $310. Since this change happened over five months (from March 15 to August 15), the average monthly change is $310 divided by 5, which equals $62.

A ($290) YOUR ANSWER

This figure is incorrect because it does not represent the total change of the account balance. The total change from $1,140 to $1,450 is $310, not $290. Even if this were the total change, this value would need to be divided by the number of months to find the average monthly change.

B ($310) YOUR ANSWER

While $310 correctly represents the total change in the account balance, it is not the average monthly change. To find the average monthly change, this total needs to be divided by the number of months (5), which gives $62, not $310.

C ($621) YOUR ANSWER

This figure does not relate to any calculations derived from the account balance changes. The total change in account balance is $310, not $621. Even if this were the total change, this value would need to be divided by the number of months to find the average monthly change.

D ($52) CORRECT

As stated in the opening statement, $52 represents the correct average monthly change in the student's account balance. This is determined by subtracting the initial balance from the final balance to find the total change ($310), and then dividing that total by the number of months (5), which equals $62.

Conclusion

The average rate of change per month in the student's account was $52. This was calculated by subtracting the initial balance from the final balance, resulting in a total change of $310, and then dividing that total by the number of months (5). The other options either represented different aspects of the problem (like the total change) or were unrelated to the given information.

A student's savings account balance changed from $1,140 on March 15 to $1,450 on August 15. Which of the following amounts is the average rate of change per month in their account?

$52 is the average rate of change per month in the student's account.

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