Question

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

Answer 1

Linear: y=2000 + 25x

Explanation:

A linear function, because he will put the same amount in (same rate of change) each month.

y=2000 + 25x

Answer 2

The function which best models the relationship between time and the total amount in the savings account is:

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:

It is given that:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

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

Hence, 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`