caitlin has a movie rental card worth $175.After she rents the first movie ,the card's value is $172.25. Aftershe rents the second movie ,its value is $169.50.After she rents the third movie, the card is worth $166.75.

Assuming the pattern continues,write an equation to define A(n), the amount of money on the rental card after n rentals

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Misssyjaimei Misssyjaimei · Answer 1 · 2015-05-12T18:28:48-04:00

the answer to this question is 175 - n x 2.75

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ewomazinoade ewomazinoade · Answer 2 · 2021-12-23T05:16:55-05:00

The equation that defines the amount of money on the rental card after n rentals is $175 - $2.75n.

The first step is to determine the rate at which the card value declines after a movie is rented.

Rate of decline = value of the card before the movie is rented - value after the movie is rented

$175 - $172.25 = $2.75

The equation that defines the amount of money on the rental card after n rentals is:

A(n) = beginning balance - (rate of decline x number of movies rented)

$175 - $2.75n

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