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Liquid going through a cooling system is chilled so that its temperature decreases at a constant rate from 100°C to 25°C in 5 seconds. Which of the following functions represents the temperature C, in degrees Celsius, as a function of the time t, in seconds, after chilling began, for 0 ≤ t ≤ 5 ?

A) C = −25 + 15t

B) C = 25 − 15t

C) C = 25 + 15t

D) C = 100 − 15t

**Comments**

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Since the initial temperature of the liquid is 100°C and the initial time is at t = 0

Substituting t = 0 into the equation in choice D:

C = 100 − 15t

C = 100 - 15(0)

C = 100

Thus, only choice D has an initial temperature of 100 (at t = 0)

**Answer: C**

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