6

Set 7: Exponential Functions (Advanced)

Explanation

Answer: C

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?

Viral Video Views

A.

300

B.

600

C.

900

✓ Correct
D.

200

Detailed Explanation

Choice C is correct. 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.

Key Steps:

The correct answer is 900

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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