Understanding College Payment Account Equation

The video tutorial explains an equation representing a college payment account balance over time. It covers interpreting the slope, which indicates a decrease in balance per quarter, and the initial value, representing the starting balance. The tutorial also demonstrates how to calculate the number of quarters the account can cover before the balance reaches zero.

What does the equation c = 27,500 - 2,500q represent?

• The number of courses taken each quarter.

• The interest rate on a student loan.

• The balance in a college payment account after a certain number of quarters.

• The total cost of college tuition.

In the equation c = 27,500 - 2,500q, what does the slope of -2,500 indicate?

• The account balance doubles each quarter.

• The account balance decreases by $2,500 each quarter.

• The account balance increases by $2,500 each quarter.

• The account balance remains constant.

Why is the slope in the equation negative?

• Because the account balance is doubling.

• Because the account balance is constant.

• Because the account balance is decreasing.

• Because the account balance is increasing.

What is the initial value of the account balance in the equation?

• $11,000

• $2,500

• $0

• $27,500

What does the initial value of $27,500 represent in the context of the account?

• The interest earned on the account.

• The total amount of money needed for college.

• The starting balance of the college payment account.

• The amount of money spent each quarter.

How many quarters can the account pay for before the balance reaches zero?

• 8 quarters

• 11 quarters

• 5 quarters

• 15 quarters

What equation do you solve to find out how many quarters the account can pay for?

• c = 27,500

• q = 27,500 - 2,500c

• c = 0

• 0 = 27,500 - 2,500q

What is the significance of setting c to zero in the equation?

• To calculate the interest rate.

• To find the initial balance.

• To determine the number of quarters the account can sustain.

• To find the maximum balance.

What does the horizontal intercept represent in this context?

• The total cost of college.

• The interest rate of the account.

• The number of quarters the account can pay for.

• The starting balance of the account.

What operation is performed to solve for q in the equation 0 = 27,500 - 2,500q?

• Addition

• Multiplication

• Division

• Subtraction