Viral Video Views

2
advanced-math

A viral video's views are modeled by V(h)=100(3)hV(h) = 100(3)^h, where hh is hours since posting. How many views will it have after 2 hours?

A

300

B

600

C

900

D

200

Correct Answer: C

Choice C is the correct answer. Evaluate the function at h=2h=2.

  1. Substitute: V(2)=100(3)2V(2) = 100(3)^2.
  2. Exponentiate: 32=93^2 = 9.
  3. Multiply: 100×9=900100 \times 9 = 900.

💡 Strategic Tip:3h3^h means the views triple every hour. 100 -> 300 -> 900.

Choice A is incorrect because it represents 1 hour (100×3100 \times 3). Choice B is incorrect because it calculates 100×3×2100 \times 3 \times 2 (linear). Choice D is incorrect because it adds 100 to 100.

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Set 22: Exponential Functions 22