Math

A heated piece of metal cools according to the function c(x)=(.5)^(x−9), where x is measured in hours. A device is added that aids in cooling according to the function h(x)=−x−2. What will be the temperature of the metal after five hours?

-7 Degrees Celsius
6 Degrees Celsius
9 Degrees Celsius
16 Degrees Celsius

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  1. The temp of the metal can be given by the function (c+h)(x).

    (c+h)(x) = [(0.5)⁵⁻⁹] + [-(5) - 2]
    (c+h)(x) = [16] + [-7]
    (c+h)(x) = 9

    Therefore, the temperature of the metal will be 9 degrees Celcius

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  2. thx

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