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16 May, 09:29

Every day, there are 4 times more likes on an internet video of a horse which is modeled by the function c (n) = (4) n - 1, where n is the number of days since the video posted. On the first day, there were 100 likes. What is the function that shows the number of likes each day?

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  1. 16 May, 10:06
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    A better way to write the first function would be:

    c (n) = 4 * c (n-1), meaning that the number of of likes is equal to four times the number of likes from the previous day.

    On the first day, c (n), or c (0) = 100

    Therefore:

    C (n) = 100 * 4^n

    Let's plug in a view values to test our function:

    When n = 0 (first day)

    C (0) = 100 * 4 ^0 = 100*1 = 100 likes

    C (1) = 100 * 4^1 = 100 * 4 = 400 likes, four times the previous day

    C (2) = 100 * 4^2 = 100 * 16 = 1600 likes, four times the previous day

    And so on. Our function is an accurate descriptor of the model.
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