Question

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

Answer 1

First, let's find out the amount it costs to rent one movie.

175-172.25=2.75
172.25-169.50=2.75
169.50-166.75=2.75

$2.75/movie rental
-----------------------------------------------------------
A=175-2.75n

where a is the amount on the card
175 is the original amount in the card
2.75 is the cost of a movie rental times n amount of rentals
-------------------------------------------------------------------------------
n=175/2.75
  =63.63
  =63

n is the amount of weeks she can rent a movie  

She can rent movies for 63 weeks in a row