9

Set 10: Exponential Functions

Explanation

Answer: B

Calculate y=200(1.1)2y = 200(1.1)^2.

A.

220

B.

242

✓ Correct
C.

400

D.

240

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Square 1.1 first. 1. Exponent: (1.1)2=1.21(1.1)^2 = 1.21. 2. Multiply: 200×1.21=242200\times 1.21 = 242. Strategic Tip: 112=12111^2 = 121, so 1.12=1.211.1^2 = 1.21. Choice A is incorrect because it represents 1 year (200×1.1200\times 1.1). Choice D is incorrect because it approximates 200+20+20200+ 20 + 20.

Key Steps:

The correct answer is 242

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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