f x = 9,000 0.66 x The given function f models the number of advertisements a company sent to its

Question

f x = 9,000 0.66 x The given function f models the number of advertisements a company sent to its clients each year, where x represents the number of years since 1997 , and 0 &#8804; x &#8804; 5 . If y = f x is graphed in the xy -plane, which of the following is the best interpretation of the y -intercept of the graph in this context?

Accepted Answer

Choice D is correct. The y -intercept of a graph in the xy -plane is the point where x = 0 . For the given function f , the y -intercept of the graph of y = f x in the xy -plane can be found by substituting 0 for x in the equation y = 9,000 0.66 x , which gives y = 9,000 0.66 0 . This is equivalent to y = 9,000 1 , or y = 9,000 . Therefore, the y -intercept of the graph of y = f x is 0 , 9,000 . It&rsquo;s given that the function f models the number of advertisements a company sent to its clients each year. Therefore, f x represents the estimated number of advertisements the company sent to its clients each year. It's also given that x represents the number of years since 1997 . Therefore, x = 0 represents 0 years since 1997 , or 1997 . Thus, the best interpretation of the y -intercept of the graph of y = f x is that the estimated number of advertisements the company sent to its clients in 1997 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.

Question f-x-90