Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time. The recursive function that gives the number of books Ashley has at any time is

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kylestendel kylestendel · Answer 1 · 2016-07-06T19:49:32-04:00

X: represents how many weeks
N: represents books per week
B: represents books she has at anytime

So the recursive formula would be: 100 - XN = B

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JeanaShupp JeanaShupp · Answer 2 · 2019-03-18T03:25:44-04:00

Answer: \(100-wn\) , where w is the number of weeks (natural number) .

Step-by-step explanation:

Given: Ashley has 100 books that she wants to give away at the rate of n books per week.

Let 'w' be the number of weeks .

Then after first week w=1,

The number of books Ashley has after first week = \(100-n\)

[Since she wants to give away at the rate of n books per week.]

Then after second week w=2,

The number of books Ashley has after second week = \(100-n-n=100-2n\)

Then after third week w=3,

The number of books Ashley has after third week = \(100-2n-n=100-3n\)

Similarly for w weeks, the number of books Ashley has after w weeks =\(100-wn\)

Hence, the recursive function that gives the number of books Ashley has at any time is \(100-wn\), where w is the number of weeks.