Question

Currently Shawn pays $550 per month to rent his apartment. Next year his rent will increase by 13.5% from what he currently pays . a) find the amount that shawn's rent will increase . b) what will be shawn's new monthly rent?. c) If you divide your answer from (b) by shawn's original rent of $550, what is the decimal result? do you see any connection to part (a)?

Answer 1

a) Simply do 0.135(13.5%)*550 to get that his rent increases by $74.25.

b) Simply do 550+74.25 to get that his new rent is $624.25.

c) 624.25/550 = 1.135, or 100%+13.5%, the amount his rent increased.

Hope it helps <3

Answer 2

A. $74.25

B. $624.25

C. 1.135, and this is a connection to part a because it's what we multiplied 550 by to get our new rent.

Explanation:

If Shawn pays $550 per month for rent, and he has a 13.5% increase, we can multiply 550 by
`1+(13.5)/(100)` to get our new number.

`1+0.135=1.135`

`550\cdot1.135=624.25`

This is the new monthly rent, part B. To find Part A, let's subtract 550 from thi number.

`624.25-550=74.25`

Now, for part C, let's divide 624.25 by 550.

`624.25/550 = 1.135`

If you notice, 1.135 is the same number we multiplied 550 by to get our new cost, and as a percent, 1.135 is 113.5%.

Hope this helped!