Question

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 700m−300 700 m minus 300 300+700m 300 plus 700 m 700+300m−700 700 plus 300 m minus 700 300+700m−300 300 plus 700 m minus 300

Answer 1

The total housing cost for the renter can be calculated by adding the initial deposit and the total rent payments made over the months, then subtracting the deposit that is refunded at the end of the rental period.

1. The rent paid per month is $700, so for \( m \) months, the total rent is \( 700m \).
2. The initial deposit is $300, which they pay when they move in.
3. If the deposit is refunded at the end, we subtract it from the total costs.

The expression representing the housing cost, given that the deposit is returned, would be:

\[ \text{Total cost} = (700m + 300) - 300 \] This simplifies to:

\[ 700m \]

However, if focusing on the final expression that includes the deposit being returned rather than disregarding it completely, the expression representing the cost that includes the deposit is:

\[ 300 + 700m - 300 \]

So the correct option from your list that matches this representation is:

300 + 700m - 300.