Question moving
- Moving from left to right:
- The curve is in quadrant 1.
- From point (0 comma 9), the curve trends down sharply.
- From point (5 comma 1), the curve trends down gradually.
The graph gives the estimated number of alogs , in thousands, a company sent to its customers at the end of each year, where represents the number of years since the end of , where . Which statement is the best interpretation of the y-intercept in this context?
The estimated total number of alogs the company sent to its customers during the first years was .
The estimated total number of alogs the company sent to its customers from the end of to the end of was .
The estimated number of alogs the company sent to its customers at the end of was .
The estimated number of alogs the company sent to its customers at the end of was .
Moving from left to right: The curve is in quadrant 1. From point (0 comma 9),
Hard-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
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 is . Therefore, the y-intercept of the given graph is the point . It's given that represents the number of years since the end of . Therefore, represents years since the end of , which is the same as the end of . It's also given that represents the estimated number of alogs, in thousands, that the company sent to its customers at the end of the year. Therefore, represents alogs. It follows that the y-intercept means that the estimated number of alogs the company sent to its customers at the end of was .
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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