Question

16)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 1

The x-axis of the graph represents the number of monthly payments made, hence, the x - intercept which marks the intersection point of the slope line with the x - axis is 60 and gives information about the number of monthly payments needed to repay the loan.

• The x - intercept is the value at the point which the slope or regression line intersects the x - axis, this point on then graph given is 60.

• The x - intercept gives information about the variable represented on the x - axis of a graph which is the number of monthly repayments needed to cover the loan.

• The value of the x-intercept can also be interpreted as the value of x when y = 0 ; hence, the count of monthly payment required to cover the loan.

Therefore, the value of the x-intercept is 60 and represents the number of monthly payments needed to cover the loan.

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