1
advanced-math

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

B

3,000

C

5,000

D

2,500

Correct Answer: A

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.

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Set 34: Exponential Functions 34