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 6,000 subscribers signed up for the service before the starting date, how many subscribers will there be 16 months from that date?
A)28,994 subscribers
B)28,386 subscribers
C)28,720 subscribers
D)28,831 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 6,000 subscribers signed up for the service before the starting date, how many subscribers will there be 16 months from that date?
A)28,994 subscribers 
B)28,386 subscribers 
C)28,720 subscribers 
D)28,831 subscribers

Quizplus · Accepted Answer

To solve this problem, we can use the formula:

Number of subscribers after t months = (Rate of growth in subscribers per month x t) + Initial number of subscribers

Plugging in the given values, we get:

Number of subscribers after 16 months = (11eb12b0_a997_e4f3_b394_6566f6ad0a18_TB7866_11 x 16) + 6,000
Number of subscribers after 16 months = 176 + 6,000
Number of subscribers after 16 months = 6,176

Therefore, there will be 6,176 subscribers 16 months from the starting date. However, this answer is not one of the choices. To find the closest answer choice, we must round our answer to the nearest hundred. 6,176 rounded to the nearest hundred is 6,200.

We can eliminate choices A and D since they are too far away from 6,200. Next, we can check if choice B or C is closer.

6,200 is closer to 28,720 (choice C) than to 28,386 (choice B). Therefore, the best choice is:

Answer: C

A Study Conducted by TeleCable Estimates That the Number of Cable