Set 4: Linear Functions (Intermediate)

Explanation

Answer: A

Two cars drive on parallel roads. Car A's path is $y = 50x$ . Car B starts 10 miles north. What is Car B's path?

$y = 50x + 10$

✓ Correct

$y = 50x - 10$

$y = 60x$

$y = 10x + 50$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Parallel means same slope. 1. Slope: $50$ (Speed/Direction). 2. Intercept: Starts 10 miles "north" (positive y) $\rightarrow +10$ . 3. Equation: $y = 50 x + 10$ . Strategic Tip: "North" usually implies positive y-direction. Choice B is incorrect because south. Choice C is incorrect because different speed. Choice D is incorrect because swapped.

Key Steps:

•

The correct answer is $y = 50x + 10$

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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