Precalculus

The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a line with a slope of -0.4 .
Suppose that the height of the candle after 13 hours is 24.8 centimeters. What was the height of the candle after 7 hours?

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  1. h = -.4 t + b
    24.8 = -.4(13) + b
    b = 30
    so
    h = -.4 t + 30
    h(7) = -.4(7)+30
    = 27.2 cm

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  2. For items 7 and 8, refer to the situation below. The height (h) of the candle in centimeters is a function of time (t) in hours it has been burning.

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