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

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)