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Please help !Suppose that the height in centimeters of a candle is a linear function of them out of time in hours it has been burning after 12 hours of burning a candle has a height of 18.6 cm for 29 hours of running its height is 15.2 cm what was the height of the candle after 16 hours ?

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sqdancefan

Answer:

  17.8 cm

Step-by-step explanation:

In the 17 hours between heights of 18.6 cm and 15.2 cm, the candle lost 3.4 cm in height. That is, the height decreased at the rate of ...

  (-3.4 cm)/(17 h) = -0.2 cm/h

In the 4 hours between 12 hours and 16 hours of burning time, the candle will have changed its height by (4 h)(-0.2 cm/h) = -0.8 cm.

The height at 16 hours of burning is then 18.6 cm -0.8 cm = 17.8 cm.

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