Question

A checking account is set up with an initial balance of $4800, and $400 is removed from the account each month for rent (no other transactions occur on the account.

a. Write an equations that shows the amount of money in the account as the month pass.

b. Make a table of values and a graph of what is happening to the money over time.

Answer 1

a. Equation: P * (vt)
You take the initial value (P) and multiply it by the amount added or subtracted to the account per year/month/day and the amount of years/months days. In your case, it would be a monthly basis. This would be the equation (with t equalling the amount of months passed): 4800 * (-400*t). Notice that v is negative because you are subtracting money.
b. I can't make a table of values on here, but just have x = the amount of months passed and y = the value after that many months

Answer 2

A checking account is set up with an initial balance of $4800, and $400 is removed from the account each month for rent.

A: Let there be m months where $400 is removed from the account. And let x shows the amount of money left.

So, the equation becomes:
`x=4800-400m`

B: The table can form like:

m 1 2 3 4 5 6 7 8

x 4400 4000 3600 3200 2800 2400 2000 1600