Ellen has a movie rental card worth $225. After she rents the first movie, the card's value is $221.75. After she rents the second movie, its value is $218.50. After the third rental, the card is worth $215.25. Assuming the pattern continues, write an equation to define A (n), the amount of money on the card after n rentals. Ellen rents a movie every Saturday night. How many weeks in a row can she afford to rent a movie, using her rental card only?

Question

Mathematics

Kaley

14 July, 00:18

Ellen has a movie rental card worth $225. After she rents the first movie, the card's value is $221.75. After she rents the second movie, its value is $218.50. After the third rental, the card is worth $215.25. Assuming the pattern continues, write an equation to define A (n), the amount of money on the card after n rentals. Ellen rents a movie every Saturday night. How many weeks in a row can she afford to rent a movie, using her rental card only?

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Answers (2)

Know the Answer?

Braedon Mahoney · Answer 1

Answer: She can rent 69 weeks in a row (assuming its counting from the inital value which is 225)

Step-by-step explanation: The equation would be A (n) = 225-3.25^ (n-1). I think thats the equation, im not sure since it has been a few years since i did these kinds of questions.

Tommy Floyd · Answer 2

69 times

Step-by-step explanation:

$225 - $221.75 = $3.25

$221.75 - $218.50 = $3.25

... etc

Therefore pattern is 3.25

Need to find how many times $3.25 can be taken from $225

So

$225/$3.25 = 69.2 times

69 times (whole number)