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Nonlinear functions SAT question
Math · Advanced Math · Medium · Answer it here, explanation included.
The graph gives the estimated number of catalogs , 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?
ExplanationShow
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 catalogs, in thousands, that the company sent to its customers at the end of the year. Therefore, represents catalogs. It follows that the y-intercept means that the estimated number of catalogs 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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