Question

Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models the relationship between time and the total amount in the savings account?

Answer 1

Linear model

The function f(x) which represents the total amount in the savings account in x months is given by: f(x)=25x+2000

Explanation:

Given:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

This shows that the rate at which the amount is increasing each month is constant.

Therefore, the model will be linear with a slope 25.

So , if x represents the number of months.

and f(x) represents the corresponding amount in the account.

Then the function f(x) is given by: f(x)=25x+2000