College Payment Account Analysis

The video tutorial explains how to solve word problems involving slope and slope-intercept form, using a function that represents the balance in a college payment account. It covers identifying the slope as the rate of decrease in balance per quarter, interpreting the initial value as the starting balance, and calculating the number of quarters the account can cover before the balance reaches zero.

What does the function C = 30,000 - 3,000Q represent in the context of the problem?

• The total cost of college tuition.

• The balance in a college payment account after Q quarters.

• The number of quarters needed to pay off college tuition.

• The interest rate on a college loan.

In the equation C = 30,000 - 3,000Q, what does the slope represent?

• The initial balance in the account.

• The rate at which the account balance increases.

• The rate at which the account balance decreases.

• The total number of quarters covered.

How is the slope interpreted in terms of units in this problem?

• Quarters per year

• Dollars per quarter

• Quarters per dollar

• Dollars per year

What is the initial value in the equation C = 30,000 - 3,000Q?

• The initial balance in the college payment account.

• The total amount of tuition fees.

• The interest rate on the account.

• The number of quarters before payments start.

What does the initial value of 30,000 represent in this context?

• The total cost of college tuition.

• The initial deposit made into the account.

• The balance before any payments are made.

• The interest earned on the account.

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

• 5 quarters

• 8 quarters

• 10 quarters

• 12 quarters

What is the process to find out how many quarters the account can sustain payments?

• Add 3,000 to 30,000 and solve for Q.

• Set C to zero and solve for Q.

• Multiply 3,000 by Q and subtract from 30,000.

• Subtract 3,000 from 30,000 and divide by Q.