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28 August, 11:28

Annie is renting an apartment and sees in the rental agreement that each year they will raise the rent by 5%. The rent when she first signs the agreement is $850. What function best models the amount of rent she will have to pay in each future year?

A) y = 50x + 850

B) y = 850x + 50

C) y = 850 (1.05) x

D) y = 850 (0.05) x

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  1. 28 August, 13:26
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    Answer: option C) y = 850 (1.050^x

    Explanation:

    I recommend do some calculations of the rent duirng a few years to derive a law.

    # of years elapsed rent

    x y in $

    0 (start) 850

    1 850 * 1.05

    2 850 * (1.05) ^2

    3 850 * (1.05) ^3

    With that you can infere the law: y = 850 * (1.05) ^x

    So, the answer is the option C)
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