Question

Part D: What is the value of Mikayla's scooter after 4 years?

5. The function f(x) = 200. 1.02* models the amount of money in Jordan's savings
account, where x represents the number of months since Jordan first placed his
money into his account. Which of the following are true statements Select all that
apply.
The function models exponential growth.
200 represents the amount of money Jordan put in his savings account in the
beginning
The rate of decay is 2%.
Jordan has $208.08 after the first month of his savings account.
At the end of 4 months, Jordan will have more than $220 in savings.

Answer 1

-The function models exponential growth.

-200 represents the amount of money Jordan put in his savings account in the beginning.

Explanation:

-An exponential growth can be of the form :

`y = ab^x, b=(1+r)`

Where y is the quantity after time x, r is the rate of growth and a is the initial quantity.

-Given the function
`f(x)=200(1.02)^x`

The rate of growth is 2% and the initial amount is $200.

The amount after 1 and 4 months are:

`f(1)=200(1.02)^1=204.00\\\\f(4)=200(1.02)^4=216.49`

Hence, the only correct option is:

• The function models exponential growth.
• 200 represents the amount of money Jordan put in his savings account in the beginning.