A hot object cools in a room kept at a constant

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A hot object cools in a room kept at a constant 20∘C20^{\circ}\text{C}. Its temperature TT (in ∘C^{\circ}\text{C}) changes at a rate proportional to the difference between its temperature and the room temperature. Which differential equation is most consistent with this description, where kk is a positive constant? (a) −k (20−T)-k\,(20 - T) (b) k (T−20)k\,(T-20) (c) −k (T−20)-k\,(T-20) (d) −k T-k\,T

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