Question

The function f(x) = 200. 1.02* models the amount of money in Jordan's savings account, wherex represents the number of months since Jordan first placed his money into his account. Which of thefollowing are true statements? Select all that apply. (FLQE.1)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 less than $220 in savings.

Answer 1

Exponential function, in mathematics, a relation of the form

`y=a^x`

Option A is correct

Option B is correct , yes 200 represent the initial saving

Option C is incorrect 2 % is not the rate of decay

Option D is incorrect

`\begin{gathered} f(x)=200.1.02^x \\ \text{first month } \\ \text{when x=1} \\ f(1)=200.1.02^1 \\ f(1)=204 \end{gathered}`

Option E is correct

`\begin{gathered} f(x)=200.1.02^x \\ \text{when x=4} \\ f(4)=200.1.02^4 \\ f(4)=216.486 \end{gathered}`

It is less than $220

The final answer