Question

The first year in her apartment, sheena paid $600 a month in rent. Each year after that, her rent was raised 10% over her previous year's rent. Which of the following lists sheena's monthly rent for each of the first five years?

Answer 1

• Exponential equation:
  `y=ab^x` , with a = initial value and b = growth/decay.

So for this we will be using an exponential equation to help us find the values.

Since $600 was the initial rent value, 600 is the a variable.

And since the rent is increasing by 10%, add 0.1 (10% in decimal form) to 1, which the sum is 1.1. 1.1 is your b variable.

Putting our equation together, it's
`y=600(1.1)^x` , and since time is the independent variable you plug in the numbers into the x variable to solve (x = # of years after the initial year.)

`y=600(1.1)^0\\y=600(1)\\y=600\\\\y=600(1.1)^1\\y=\$660\\\\y=600(1.1)^2\\y=600(1.21)\\y=\$726\\\\y=600(1.1)^3\\y=600(1.331)\\y=\$798.60\\\\y=600(1.1)^4\\y=600(1.4641)\\y=\$878.46\\\\y=600(1.1)^5\\y=600(1.61051)\\y=\$966.31`