The total worldwide box-office receipts for a long-running blockbuster movie are approximated by the function where is measured in millions of dollars and is the number of months since the movie's release. What are the total box-office receipts after the first month? The second month? The third month? What will the movie gross in the long run (when is very large)?

A) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.5 million; in the long run: $200 million.
B) After the 1st month: $200 million; after the 2nd month: $138.5 million; after the 3rd month: $100 million; in the long run: $40 million.
C) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.6 million; in the long run: $200 million.
D) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.5 million; in the long run: $50 million.
E) After the 1st month: $50 million; after the 2nd month: $138.5 million; after the 3rd month: $100 million; in the long run: $40 million.

Question

The total worldwide box-office receipts for a long-running blockbuster movie are approximated by the function  ​ where  is measured in millions of dollars and  is the number of months since the movie's release. What are the total box-office receipts after the first month? The second month? The third month? What will the movie gross in the long run (when  is very large)?
​
A) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.5 million; in the long run: $200 million. 
B) After the 1st month: $200 million; after the 2nd month: $138.5 million; after the 3rd month: $100 million; in the long run: $40 million. 
C) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.6 million; in the long run: $200 million. 
D) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.5 million; in the long run: $50 million. 
E) After the 1st month: $50 million; after the 2nd month: $138.5 million; after the 3rd month: $100 million; in the long run: $40 million.

Quizplus · Accepted Answer

The Answer of The total worldwide box-office receipts for a long-running blockbuster movie are approximated by the function  ​ where  is measured in millions of dollars and  is the number of months since the movie's release. What are the total box-office receipts after the first month? The second month? The third month? What will the movie gross in the long run (when  is very large)?
​
A) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.5 million; in the long run: $200 million. 
B) After the 1st month: $200 million; after the 2nd month: $138.5 million; after the 3rd month: $100 million; in the long run: $40 million. 
C) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.6 million; in the long run: $200 million. 
D) After the 1st month: $40 million; after the 2nd month: $100 million; after the 3rd month: $138.5 million; in the long run: $50 million. 
E) After the 1st month: $50 million; after the 2nd month: $138.5 million; after the 3rd month: $100 million; in the long run: $40 million.

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