3. the graph models the linear relationship b...
3. the graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan. which statement describes the x - intercept of the graph? a. the x - intercept is 60, which represents the initial balance in dollars of the loan. b. the x - intercept is 27,000, which represents the initial balance in dollars of the loan. c. the x - intercept is 60, which represents the number of monthly payments needed to repay the loan. d. the x - intercept is 27,000, which represents the number of monthly payments needed to repay the loan.
Answer
# Explanation:
## Step1: Understand x - intercept concept
The x - intercept is the value of x when y = 0. In the context of the loan - payment graph, y represents the remaining balance and x represents the number of monthly payments.
## Step2: Analyze the graph
Looking at the graph, the line intersects the x - axis at x = 60. When the remaining balance (y) is 0, it means the loan has been fully repaid. So, x = 60 represents the number of monthly payments needed to repay the loan.
# Answer:
C. The x - intercept is 60, which represents the number of monthly payments needed to repay the loan.