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7 June, 20:31

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x)

in degrees Celsius is given by the following function, where x

is the number of minutes since the can was placed in the cooler.

T (x) = -12+28e-0.38x

Find the initial temperature of the soda and its temperature after 18

minutes.

Round your answers to the nearest degree as necessary.

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Answers (1)
  1. 7 June, 21:00
    0
    The initial temperature of the soda is 16°C

    The temperature of the soda after 18 minutes is - 12°C

    Step-by-step explanation:

    T (x) = - 12+28e^-0.38x

    When x = 0

    T (0) = - 12+28e^-0.38 (0) = - 12+28e^0 = - 12+28 (1) = - 12+28 = 16°C

    Initial temperature of the soda is 16°C

    When x = 18

    T (18) = - 12+28e^-0.38 (18) = - 12+28e^-6.84 = - 12+28 (0.0011) = - 12+0.0308 = - 11.9692°C = - 12°C (to the nearest degree)

    The temperature of the soda after 18 minutes is - 12°C
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