5

Set 12: Exponential Functions (Intermediate)

Explanation

Answer: B

If y=50(3)xy = 50(3)^x, what happens to yy when xx increases by 1?

A.

It increases by 3.

B.

It is multiplied by 3.

✓ Correct
C.

It increases by 50.

D.

It is multiplied by 50.

Detailed Explanation

Choice B is correct. Choice B is the correct answer. The base 3 is the multiplier. 1. Concept: Exponential growth means multiplying by the base bb for each step. 2. Identify: b=3b=3. 3. Conclusion: yy is multiplied by 3. Strategic Tip: Exponential functions are about multiplication, not addition. Choice A is incorrect because adding 3 would be linear. Choice D is incorrect because 50 is the initial value.

Key Steps:

The correct answer is It is multiplied by 3.

Why others are wrong:
A: Choice A 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.

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