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

Question

Mathematics

Micah Cobb

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

+2

Answers (1)

Know the Answer?

Keegan Higgins · Answer 1

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)