Moving from left to right: The curve is in quadrant 1. From point (0 comma 9), the curve trends down

Question

The graph gives the estimated number of alogs $y$ , in thousands, a company sent to its customers at the end of each year, where $x$ represents the number of years since the end of $1992$ , where $0 \leq x \leq 10$ . Which statement is the best interpretation of the y-intercept in this context?

Accepted Answer

Choice D is correct. The y -intercept of the graph is the point at which the graph crosses the y -axis, or the point for which the value of x is 0 . Therefore, the y -intercept of the given graph is the point 0 , 9 . It's given that x represents the number of years since the end of 1992 . Therefore, x = 0 represents 0 years since the end of 1992 , which is the same as the end of 1992 . It's also given that y represents the estimated number of alogs, in thousands, that the company sent to its customers at the end of the year. Therefore, y = 9 represents 9,000 alogs. It follows that the y -intercept 0 , 9 means that the estimated number of alogs the company sent to its customers at the end of 1992 was 9,000 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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