Caitlin has a movie rental card worth $175. After she rents the first movie, the card's value is

$172.25. After she 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.

Caitlin rents a movie every Friday night. How many weeks in a row can she afford to rent a movie,

using her rental card only? Explain how you arrived at your answer.

Question

Mathematics

Guest

1 January, 18:04

Caitlin has a movie rental card worth $175. After she rents the first movie, the card's value is

$172.25. After she 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.

Caitlin rents a movie every Friday night. How many weeks in a row can she afford to rent a movie,

using her rental card only? Explain how you arrived at your answer.

+2

Answers (1)

Know the Answer?

Lazarus · Answer 1

The equation A (n) = $175 - (n x $2.75) would define the amount of money on the

rental card after (n) rentals.

According to the pattern given, $2.75 will be deducted to the rental card every after Caitlin rents a movie. We can simply divide the amount of the card which is $175 by $2.75 which we presume the rental fee. From that, we can have a result of 63.63 rentals using her card. Therefore, there will be 63.63 weeks Caitlin can afford to rent a movie.