2
algebra

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

B

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

C

h=1.5t−5h = 1.5t - 5

D

h=5t−1.5h = 5t - 1.5

Correct Answer: A

Choice A is the correct answer. Linear growth model.

  1. Rate (Slope): 1.5 ft/year →1.5t\rightarrow 1.5t.
  2. Start (Intercept): 5 ft →+5\rightarrow +5.
  3. Equation: h=1.5t+5h = 1.5t + 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.

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Linear Functions Set 96