Question

A bank checking account is set up with a beginning balance of $3600, and $400 is removed from the account each month for the car payment (no other transactions happen on the account).

a. Create an expression representing the amount in her account.

b. Write an equation whose solution is the number of months, m, it takes for the account balance to reach $2000.

c. What does each part of your equation represent?

d. Make a plot on a graph of the balance after m months for for m=1,2,3,4,5,6 and indicate on the plot the solution to your equation in part (b).

Answer 1

a. $3,600 - $400 × m

b. $3,600 - $400 × m = $2,000

c. $3,600 is the initial account balance of the bank checking account

$400 × m is the amount removed from the account after t months such that the final account balance of the bank checking account is $2,000

$2,000 is the final account balance of the bank checking account

d. P lease find attached, the required plot and the included solution to part (b)

Explanation:

The given information are;

The initial account balance of the bank checking account = $3600

The amount removed from the account monthly for the car payment = $400

a. The expression representing the amount in her account (her account balance) is given as follows;

Amount in her account is $3,600 - $400 × m

Where;

m = The number of months

b. The equation whose solution is the amount of months, m, it takes for the account balance to reach $2,000 is given as follows;

$3,600 - $400 × m = $2,000

c. The parts of the equation are;

$3,600 = The initial account balance of the bank checking account

$400 × m = The amount removed from the account after t months such that the final account balance of the bank checking account is $2,000

$2,000 = The final account balance of the bank checking account

d. Please find attached the required plot and the included solution to part (b)