Understanding Loan Repayment Graphs

The video tutorial explains a payback plan where Elena borrows money and repays it over time. The graph of this scenario shows a negative slope, indicating a decrease in the amount owed each week. The y-intercept represents the initial amount borrowed, while the x-intercept shows when the debt is fully repaid. The slope is calculated as the change in the amount owed per week, and the equation y = -3x + 18 models the repayment process. The video also covers how to determine the time needed to repay the loan and the significance of the slope in reducing debt.

What does a negative slope indicate in the context of Elena's payback plan?

• Elena's income is increasing.

• Elena's debt is increasing.

• Elena is repaying her loan over time.

• Elena is borrowing more money each week.

What does the y-intercept of 18 represent in Elena's loan graph?

• The total interest paid by Elena.

• The amount Elena initially borrowed.

• The number of weeks to repay the loan.

• The total amount repaid by Elena.

What does the x-intercept at x = 6 signify in the graph?

• Elena has borrowed more money.

• Elena has repaid the loan in full.

• Elena's debt has doubled.

• Elena's repayment period has been extended.

How is the slope of the graph calculated?

• By dividing the change in y by the change in x.

• By multiplying the change in x by the change in y.

• By dividing the change in x by the change in y.

• By adding the change in x and y.

What is the slope of Elena's loan repayment graph?

• Positive 3

• Negative 3

• Zero

• Positive 18

What is the equation representing Elena's loan repayment?

• y = -3x + 18

• y = 3x + 18

• y = 18x - 3

• y = -18x + 3

What does the slope represent in the context of Elena's loan?

• The reduction in debt each week.

• The total loan amount.

• The interest rate on the loan.

• The amount borrowed each week.

How many weeks does it take for Elena to repay her loan?

• 3 weeks

• 6 weeks

• 12 weeks

• 9 weeks

What is the significance of the x-intercept in the context of the loan?

• It represents the initial borrowing time.

• It shows the total interest paid.

• It indicates the loan amount.

• It marks the point when the loan is fully repaid.

Why is the slope considered negative in this scenario?

• Because Elena's debt is increasing.

• Because the loan amount is negative.

• Because Elena is repaying the loan, reducing the debt.

• Because the interest rate is negative.