Kristen bought a Home Theater for $750 and rented movies every month. The cost of each rental is $4.49 and the membership charges are $12/month. Which equation gives the total amount, A, she spent during the first six months on the number of rented movies, r, including the cost of the Home Theater?

A = $822 + $4.49r

Step-by-step explanation:

The question asks to know the equation that describes how much spent in the first six months and also the cost of the home theater.

Firstly, the equation asks to represent the total amount spent by A. She spent $4.49 per rental and made a total of r rentals in the first six months, thus, the total amount of money she spent on rentals is thus 4.49 * r = $4.49r. Now, she also spends $12/month as membership charges. The total membership charges in the first 6 months is thus 6 * 12 = $72

Lastly, she bought the home theater itself $750. Thus, the total amount of money spent A is $750 + $72 + $4.49r

This translates to $822 + $4.49r

In equation form, A = $822 + $4.49r