The temperature (in ) of a chemical solution is a differentiable function of time (in…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The temperature TT (in ∘ ⁣C^{\circ}\!\text{C}) of a chemical solution is a differentiable function of time tt (in minutes). At t=7 mint=7\text{ min} it is observed that T′(7)=−0.6T'(7)=-0.6. Which statement best describes the behaviour of the temperature at that instant? (a) The temperature is constant. (b) The temperature is increasing at 0.6 ∘ ⁣C0.6\,^{\circ}\!\text{C} per minute. (c) The temperature is decreasing at 0.6 ∘ ⁣C0.6\,^{\circ}\!\text{C} per minute. (d) The temperature is decreasing at 6 ∘ ⁣C6\,^{\circ}\!\text{C} per minute.

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