Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the amount of lemonade in the container, A (n) ?

Question

Aryan Williams

Mathematics

22 March, 12:27

Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the amount of lemonade in the container, A (n) ?

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Answers (1)

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Grayson Mitchell · Answer 1

Given:

64 ounces of Lemonade.

Rate of depletion = 16 ounces per day

Rate of replenishment = additional 25% of the remaining lemonade per day.

The equation which will represent the amount of lemonade in the container on day n is

A (n) = 64 - 16n + (0.25 * (64 - 16n))