Question

1. adriana is curious to see the amount of money she will spend on rent over a period of 3 years at 4 different apartment complexes. match the apartment complex on the left to the cost to rent an apartment there for 3 years on the right.

1. tuscany apartments, rent = $963.00 per month \t\t\t a. $40,500
2. c street apartments, rent = $992.00 per month \t\t\t b. $34,668
3. madrid apartments, rent = $1,125.00 per month \t\t\t c. $35,712
4. balboa apartments, rent = $1,095.00 per month \t\t\t d. $39,420

Explanation:

Step1: Calculate total months in 3 years

There are 12 months in a year, so for 3 years, total months = \( 3\times12 = 36 \) months.

Step2: Calculate rent for Tuscany Apartments

Rent per month = $963.00. Total rent = \( 963\times36 \)
\( 963\times36=(1000 - 37)\times36 = 1000\times36-37\times36 = 36000 - 1332 = 34668 \)

Step3: Calculate rent for C Street Apartments

Rent per month = $992.00. Total rent = \( 992\times36 \)
\( 992\times36=(1000 - 8)\times36 = 1000\times36 - 8\times36 = 36000 - 288 = 35712 \)

Step4: Calculate rent for Madrid Apartments

Rent per month = $1125.00. Total rent = \( 1125\times36 \)
\( 1125\times36 = 1125\times(30 + 6)=1125\times30+1125\times6 = 33750+6750 = 40500 \)

Step5: Calculate rent for Balboa Apartments

Rent per month = $1095.00. Total rent = \( 1095\times36 \)
\( 1095\times36=(1100 - 5)\times36 = 1100\times36-5\times36 = 39600 - 180 = 39420 \)

Answer:

1. Tuscany Apartments - b. $34,668
2. C Street Apartments - c. $35,712
3. Madrid Apartments - a. $40,500
4. Balboa Apartments - d. $39,420