9

Set 10: Exponential Functions (Intermediate)

Explanation

Answer: A

A social media post gets 500 views initially. Views increase by 40% each hour for the first 6 hours. How many total views after 6 hours?

A.

About 3,572

✓ Correct
B.

3,000

C.

5,000

D.

2,500

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Apply exponential growth. 1. Formula: V(t)=500(1.40)tV(t) = 500(1.40)^t where t=6t = 6. 2. Calculate: V(6)=500(1.40)6=500(7.13989)3,570V(6) = 500(1.40)^6 = 500(7.13989) \approx 3,570. 3. Round: About 3,572 views. Strategic Tip: 40% increase means growth factor of 1.40. Choice B is incorrect because this underestimates the compound growth. Choice C is incorrect because this assumes linear growth. Choice D is incorrect because growth is much higher.

Key Steps:

The correct answer is About 3,572

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