3

Set 2: Linear Equations (Advanced)

Explanation

Answer: A

A map scale is 1 inch = 50 miles. If two cities are 4.5 inches apart, how many miles is that?

A.

225

✓ Correct
B.

150

C.

200

D.

250

Detailed Explanation

Choice A is correct. Choice C is the correct answer. 1. Proportion: 150=4.5x\frac{1}{50} = \frac{4.5}{x} 2. Cross Multiply: x=50(4.5)x = 50(4.5) 3. Calculate: x=225x = 225 Choice D is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 225

Why others are wrong:
B: Choice B 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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