3
Answer: ASet 6: Exponential Functions
Explanation
A streaming platform gains subscribers exponentially. The table shows the data:
| Month | Subscribers |
|---|---|
| 0 | 5,000 |
| 2 | 20,000 |
| 4 | 80,000 |
What is the growth factor per 2-month period?
A.✓ Correct
4
B.
2
C.
15,000
D.
5
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Calculate the ratio between periods. 1. Period 1: . 2. Period 2: . 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.
Key Steps:
•
The correct answer is 4
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
🎯 Keep Practicing!
Master all sections for your best SAT score