Question

Alice is saving to buy a house and currently has$2,000 in her savings account. She's planning tocontribute $150 to the account each month,Identify the function that describes therelationship between the number of monthsthat pass (n) and the balance of her savingsaccount,f(n).

Answer 1

Alice plans to buy a house. She has $2,000 in her savings account.

She plans to contribute $150 to the account each month.

We know that with each month, n, she deposits $150 and so, each month, her savings account balance increases by $150.

This simply means that after n months, her savings account balance would have increased by:

150 * n = 150n

Her initial balance was $2000, therefore, her balance after n months will be the sum of 150n and the amount that was initially there.

That is:

f(n) = 2000 + 150n

This is the function that describes the relationship between the number of months and her balance.