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 $left parenthesis 0 comma 225 right parenthesis$ . 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 $dollar sign 225$ when it was purchased.

Choice B is incorrect. The estimated value of the tablet $24$ months after it was purchased was $dollar sign 50$ , not $dollar sign 225$ .

Choice C is incorrect. The estimated value of the tablet had decreased by $dollar sign 225 minus dollar sign 50$ , or $dollar sign 175$ , not $dollar sign 225$ , in the $24$ months after it was purchased.

Choice D is incorrect and may result from conceptual errors.

Question 4-8-12

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

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