4 8 12 16 20 24 x 50 100 150 200 250 300 350 y O Number of months after

Question

4 8 12 16 20 24 x 50 100 150 200 250 300 350 y O Number of months after purchase Value (dollars) Moving from left to right: The curve is in quadrant 1. The curve trends down gradually. The curve passes through the following approximate points: (0 comma 225) (24 comma 50) The graph shown gives the estimated value, in dollars, of a tablet as a function of the number of months since it was purchased. What is the best interpretation of the y -intercept of the graph in this context?

Accepted Answer

Choice A is correct. It's given that the graph shown gives the estimated value y , in dollars, of a tablet as a function of the number of months since it was purchased, x . The y -intercept of a graph is the point at which the graph intersects the y -axis, or when x is 0 . The graph shown intersects the y -axis at the point 0 , 225 . It follows that 0 months after the tablet was purchased, or when the tablet was purchased, the estimated value of the tablet was 225 dollars. Therefore, the best interpretation of the y -intercept is that the estimated value of the tablet was $ 225 when it was purchased. Choice B is incorrect. The estimated value of the tablet 24 months after it was purchased was $ 50 , not $ 225 . Choice C is incorrect. The estimated value of the tablet had decreased by $ 225 - $ 50 , or $ 175 , not $ 225 , in the 24 months after it was purchased. Choice D is incorrect and may result from conceptual errors.

Question 4-8-12