The total worldwide box-office receipts for a long-running movie are approximated by the function where is measured in millions of dollars and x is the number of years since the movie's release. Select the graph of the function T.

Question

The total worldwide box-office receipts for a long-running movie are approximated by the function  where  is measured in millions of dollars and x is the number of years since the movie's release. Select the graph of the function T.

Quizplus · Accepted Answer

The graph of the function is an exponential growth curve, which means it starts at a low point and quickly increases before eventually leveling off. Choice B is the only graph that follows this pattern, with a steep initial increase and a later leveling off around $T=100$ million. The other graphs either increase linearly (Choice A), decrease over time (Choice C), or have a more gradual and sustained growth pattern (Choice D).

The Total Worldwide Box-Office Receipts for a Long-Running Movie Are