SOLUTION: Conner has 25,000 in his bank account. Every month he spends $ 1,500. He does not add money to the account. How much money will Conner have in his account after 8 months?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Conner has 25,000 in his bank account. Every month he spends $ 1,500. He does not add money to the account. How much money will Conner have in his account after 8 months?       Log On


   



Question 660683: Conner has 25,000 in his bank account. Every month he spends $ 1,500. He does not add money to the account.
How much money will Conner have in his account after 8 months?

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

Problem:
Conner has 25,000 in his bank account. Every month he spends $ 1,500. He does not add money to the account.

How much money will Conner have in his account after 8 months?

Answer:
You can model this situation with a linear equation in the form y=mx+b.

The y-intercept b is the starting balance in in Conner's account: $25,000.

The slope m is the amount Conner spends each month: - $1,500 per month. The slope is negative because the bank balance is decreasing.

The equation is y=-1500x%2B25000.

The variable x represents the number of months since the account opened.
The variable y represents the monthly balance.

You want to know the balance after 8 months, so x=8. Substitute 8 for x in the equation.

y=-1500x%2B25000
y=-1500%288%29%2B25000

Solve for y.
y=-12000%2B25000
y=13000

After 8 months, Conner's bank balance is $13,000.

That's it.
Mrs.Figgy