9
algebra

A candle is 12 inches tall and burns at 2 inches per hour. Which equation models height hh after tt hours?

A

h=−2t+12h = -2t + 12

B

h=2t+12h = 2t + 12

C

h=12t−2h = 12t - 2

D

h=−2t−12h = -2t - 12

Correct Answer: A

Choice A is the correct answer. Burning means decreasing height.

  1. Rate: Burns 2 in/hr →\rightarrow Slope −2-2.
  2. Start: 12 inches →\rightarrow Intercept +12+12.
  3. Equation: h=−2t+12h = -2t + 12.

💡 Strategic Tip: Always check if the quantity is increasing (+) or decreasing (-).

Choice B is incorrect because it implies the candle grows. Choice C is incorrect because it swaps rate and start. Choice D is incorrect because it implies negative initial height.

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Linear Functions Set 84