Question

Sofia wants to rent an apartment. She visits Apartment A which charges $100 for a one-time deposit and $400 per month for rent. She also visits Apartment B which charges $500 for a deposit, but only charges $350 per month in rent. Write and solve an inequality that shows how many months it would take for the total paid to be less for Apartment B.

Answer 1

It takes 9 or more months for the Apartment B to pay less than Apartment A.

Explanation:

Apartment B:

8 x 350 = $2800

$2800 + $500 = $3300

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9 x 350 = $3150

$3150 + $500 = $3650

Apartment A:

$400 x 8 = $3200

$3200 + $100 = $3300

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9 x 400 = 3600

3600 + 100 = 3700