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1 March, 14:26

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 5 hours?

-7° Celsius

6° Celsius

9° Celsius

16° Celsius

+5
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  1. 1 March, 14:55
    0
    In both cases, we have cooling. We can add together the 2 functions describing this cooling: z (x) = 0.5x - 9 - [-x-2] = 0.5x - 9 + x + 2, or

    z (x) = 1.5x - 7

    Provided that this is correct, all we have to do now is to subst. 5 for x:

    z (5) = 1.5 (5) - 7 = 7.5 - 7 = 0.5 (answer)
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