1
advanced-math

A streaming platform gains subscribers exponentially. The table shows the data:

MonthSubscribers
05,000
220,000
480,000

What is the growth factor per 2-month period?

A

4

B

2

C

15,000

D

5

Correct Answer: A

Choice A is the correct answer. Calculate the ratio between periods.

  1. Period 1: 20,0005,000=4\frac{20,000}{5,000} = 4.
  2. Period 2: 80,00020,000=4\frac{80,000}{20,000} = 4.
  3. Growth Factor: Every 2 months, subscribers multiply by 4.

💡 Strategic Tip: Consistent ratio = exponential growth factor.

Choice B is incorrect because this would only give 5,000 → 10,000 → 20,000. Choice C is incorrect because this is the difference (linear), not ratio. Choice D is incorrect because the ratio is 4, not 5.