A study conducted by TeleCable estimates that the number of cable TV subscribers will grow at the rate of
New subscribers/month t months from the start date of the service. If 8,000 subscribers signed up for the service before the starting date, how many subscribers will there be 16 months from that date?

A) 31,154 subscribers
B) 30,880 subscribers
C) 30,546 subscribers
D) 30,991 subscribers

Question

A study conducted by TeleCable estimates that the number of cable TV subscribers will grow at the rate of ​  ​
New subscribers/month t months from the start date of the service. If 8,000 subscribers signed up for the service before the starting date, how many subscribers will there be 16 months from that date?
​
A) 31,154 subscribers 
B) 30,880 subscribers 
C) 30,546 subscribers 
D) 30,991 subscribers

Quizplus · Accepted Answer

To solve the problem, we can use the formula for exponential growth:

N(t) = N₀e^(rt)

where N₀ is the initial number of subscribers (8,000), r is the growth rate (11eb651f_cb2b_8380_b0a1_bdabc3674866_TB8255_11), t is the time in months since the service started, and N(t) is the number of subscribers after t months.

Substituting the values given, we have:

N(16) = 8,000 e^(11eb651f_cb2b_8380_b0a1_bdabc3674866_TB8255_11 * 16)

N(16) ≈ 30,880

Therefore, the answer is B) 30,880 subscribers.

A Study Conducted by TeleCable Estimates That the Number of Cable