A person living in an apartment puts down a $300 deposit when they move in and then pays $700 of rent each month for a year. If the apartment is in good condition when they move out, then they get the deposit back. Write an expression to represent the housing cost for this situation if the renter gets the deposit back at the end of m months.(1 point) Responses 700+300m−700 700 plus 300 m minus 700 700m−300 700 m minus 300 300+700m−300 300 plus 700 m minus 300 300+700m

Question

GPT-4o mini · Answer

To calculate the total housing cost for the renter who pays a monthly rent and receives their deposit back at the end of their stay, the expression can be structured as follows:

The person pays a $300 deposit initially, which they will get back if the apartment is in good condition when they move out.
The monthly rent is $700, and they pay this for $ m $ months.

The total cost incurred over $ m $ months is the rent paid over that period minus the deposit they receive back:

Rent paid over $ m $ months: $ 700m $
Total costs including the deposit (which they will get back) is $ 700m + 300 $
Since they get the deposit back, at the end, you can subtract the deposit from the total cost, which gives: $ 700m + 300 - 300 $.

Thus, simplifying this, we end up with the expression:

$ 700m $ (which represents the total cost of rent without considering the deposit).

So, the correct expression that represents the total net housing cost when the deposit is considered is:

$ 700m $

In the provided responses, none match this conclusion. However, if the aim is just the total initial payment, you can refer to:

Total payment initially without the deduction of the deposit would look like $ 300 + 700m $, but since they get the deposit back, the cost that remains is simply $ 700m $.