8

Set 9: Linear Functions (Advanced)

Explanation

Answer: A

Calculate the slope from the table: x | 2 | 4 | 6 y | 5 | 9 | 13

A.

22

✓ Correct
B.

44

C.

12\frac{1}{2}

D.

0.50.5

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Use differences in the table. 1. Change in y: 95=49- 5 = 4. 2. Change in x: 42=24- 2 = 2. 3. Slope: ΔyΔx=42=2\frac{\Delta y}{\Delta x} = \frac{4}{2} = 2. Strategic Tip: Don't just look at the y-change! You must divide by the x-change. Choice B is incorrect because it is just Δy\Delta y. Choice C is incorrect because it is ΔxΔy\frac{\Delta x}{\Delta y}. Choice D is incorrect because it is ΔxΔy\frac{\Delta x}{\Delta y}.

Key Steps:

The correct answer is 22

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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