On January 1, 1996, America Online was the largest on-line service provider, with 4 million subscribers, and it was adding new subscribers at a rate of 48,000 per week. If is the number of America Online subscribers t weeks after January 1, 1996, what do the given data tell you about values of the function and its derivative?
A)A (0)= 0.048, A '(0)= 4
B)A (0)= 3.5, A '(0)= 0.048
C)A (0)= 4.5, A '(0)= 0.047
D)A (0)= 8, A '(0)= 0.048
E)A (0)= 4, A '(0)= 0.048

Question

On January 1, 1996, America Online was the largest on-line service provider, with 4 million subscribers, and it was adding new subscribers at a rate of 48,000 per week. If  is the number of America Online subscribers t weeks after January 1, 1996, what do the given data tell you about values of the function  and its derivative?
A)A (0)= 0.048, A '(0)= 4 
B)A (0)= 3.5, A '(0)= 0.048 
C)A (0)= 4.5, A '(0)= 0.047 
D)A (0)= 8, A '(0)= 0.048 
E)A (0)= 4, A '(0)= 0.048

Quizplus · Accepted Answer

The given data tells us that on January 1, 1996 (t = 0), America Online had 4 million subscribers. Therefore, A(0) = 4. It also tells us that America Online was adding new subscribers at a rate of 48,000 per week, which can be expressed as A'(0) = 0.048 (million subscribers per week). Therefore, the best choice is E, which matches these values.

On January 1, 1996, America Online Was the Largest On-Line