y 35 0 30 0 25 0 ' 0 Value (dollars) 20 ~ i-.._I',, 15 0 10 0,-... 0 5 X 0 4 8 12 16 20 24 Number of months after purchase 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?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
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 ^ h. It follows that 0 months after the tablet was purchased, or when the 225 tablet was purchased, the estimated value of the tablet was dollars. Therefore, the best interpretation of the y-intercept is that the estimated value of $225 the tablet was when it was purchased. 24 Choice B is incorrect. The estimated value of the tablet months after it was $50 $225 purchased was , not . Choice C is incorrect. The estimated value of the $225-$50 $175 $225 24 tablet had decreased by , or , not , in the months after it was purchased. Choice D is incorrect and may result from conceptual errors.
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