A pot of soup is removed from the stove at and placed in a kitchen

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

Problem

A pot of soup is removed from the stove at

95^{\circ}\text{C}

and placed in a

20^{\circ}\text{C}

kitchen. If its temperature satisfies

\displaystyle \frac{dT}{dt}=k\,(T-20)

with

k=-0.08\,\text{min}^{-1}

, which is the best estimate of the soup’s temperature after

10

minutes? (a)

43^{\circ}\text{C}

(b)

70^{\circ}\text{C}

(c)

54^{\circ}\text{C}

(d)

50^{\circ}\text{C}