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Linear Functions

SAT Math· difficulty 3/5

A candle burns at a constant rate. After 2 hours its height is 18 cm; after 5 hours it is 12 cm. What is the candle's initial height (at t=0t = 0)?

  • A

    2626 cm

  • B

    2020 cm

  • C

    2424 cm

  • D

    2222 cm

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Explanation

Slope =(12−18)/3=−2= (12 - 18)/3 = -2. h(t)=−2t+bh(t) = -2t + b. 18=−4+b⇒b=2218 = -4 + b \Rightarrow b = 22.

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