Max has to pay an interest fee of $300 per month for every month he hasn’t paid off his loan. He also has to pay a $30 late fee every time his loan repayments aren’t paid by the due date. If Max has 13 late payments before his loan is repaid, what expression could be used to determine how much money Max paid in extra fees?(A) 300 + 30x, where x is the number of late payments(B) 300x + 30, where x is the number of months of interest fees(C) 300x + 390, where x is the number of months of interest fees(D) 300x + 390x, where x is the number of late payments(E) 300x + 30x + 13, where x is the number of late payments
Question
Max has to pay an interest fee of 30 late fee every time his loan repayments aren’t paid by the due date. If Max has 13 late payments before his loan is repaid, what expression could be used to determine how much money Max paid in extra fees?(A) 300 + 30x, where x is the number of late payments(B) 300x + 30, where x is the number of months of interest fees(C) 300x + 390, where x is the number of months of interest fees(D) 300x + 390x, where x is the number of late payments(E) 300x + 30x + 13, where x is the number of late payments
Solution
The correct expression would be (A) 300 + 30x, where x is the number of late payments.
Here's why:
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Max has to pay an interest fee of $300 per month for every month he hasn’t paid off his loan. This is a fixed amount, so it doesn't change with the number of late payments. Therefore, it's represented as a constant in the expression, 300.
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He also has to pay a $30 late fee every time his loan repayments aren’t paid by the due date. This amount changes with the number of late payments. Therefore, it's represented as a variable in the expression, 30x.
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The total amount Max paid in extra fees is the sum of the interest fee and the late fee, which is 300 + 30x.
The other options (B, C, D, E) are incorrect because they
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