10

Set 17: Linear Functions (Advanced)

Explanation

Answer: A

A tree grows at a rate of 1.5 feet per year. If it was 5 feet tall when planted, which equation models its height hh after tt years?

A.

h=1.5t+5h = 1.5t + 5

✓ Correct
B.

h=5t+1.5h = 5t + 1.5

C.

h=1.5t−5h = 1.5t - 5

D.

h=5t−1.5h = 5t - 1.5

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Linear growth model. 1. Rate (Slope): 1.5 ft/year →1.5t\rightarrow 1.5 t. 2. Start (Intercept): 5 ft →+5\rightarrow +5. 3. Equation: h=1.5t+5h = 1.5 t + 5. Strategic Tip: "Per year" indicates the slope. Choice B is incorrect because swaps rate and start. Choice C is incorrect because subtracts initial height. Choice D is incorrect because swaps and subtracts.

Key Steps:

•

The correct answer is h=1.5t+5h = 1.5t + 5

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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