Linear equation word problem

Question

Jasmine has been working to save money and wants to have an equation to model the amount of money in her bank account. She has been depositing $175 a month consistently, she doesn’t remember how much money she deposited initially, however on her last statement she saw that her account has been open for 10 months and currently has $2475 in it. Create an equation for Jasmine.

Answer 1

To start, since she has been putting $175 in the bank for 10 months, then you can say that she has $1750 (or 10 times $175) of her $2475 from the deposits she has made.

Then since she has $2475 now , then she mus have started with $ 725 (OR $2475 -1750 = 725).

To create an equation for any number of months, we can let x represent the number of months and C represent the total in her account at any time.

The equation would be :

C = $175x + $725