Question

3. Kamil has $500 in his bank account. He deposits $20 per month into the account to helphim save money.A. How much money did Kamil start with?B. State if the amount of money in his account each month is increasing ordecreasing, and by what amount.C. Write a linear equation using function notation, f(x), which represents the totalamount in his bank account after x months.D. Use your equation to determine how much will he have in the account after 2years.

Answer 1

Hello there. To solve this question, we'll have to remember some properties about linear models.

Given that Kamil has $500 in his bank account and he deposits $20 per month, we have to determine:

A) How much money did Kamil start with?

This is how much money he had before starting depositing: $500.

B) State if the amount of money in his account each month is increasing or decreasing, by what amount.

Since he is depositing $20 per month, then the amount of money is increasing by an amount of $20.

C) Write a linear equation using function notation, f(x), which represents the total amount in his bank account after x months.

Since he deposits $20 per month, after x months he'd have deposited $20 times x, that is:

`20x`

Now add this to the amount he had, then you get the function:

`f(x)=500+20x`

D) Use your equation to determine how much will he have in the account after 2 years.

First, remember there is 12 months in a year, such that in 2 years there are 24 months.

Using x = 24, Kamil will have:

`f(24)=500+20\cdot24=500+480=\$980`

These are the answers to the question.