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#14787

functions

exponential

applications

hard

150 sec

A piece of metal is left to cool in a laboratory where the ambient temperature is a constant 72 $°$ F. The initial temperature of the metal is 180 $°$ F. After 10 minutes, its temperature is 150 $°$ F. Which of the following functions best represents the temperature $T (t)$ , in degrees Fahrenheit, of the metal $t$ minutes after cooling began?

A.

$T (t) = 180 + 72 (\frac{13}{18})^{t}$

B.

$T (t) = 72 (\frac{13}{18})^{t /10}$

C.

$T (t) = 72 + 108 (\frac{13}{18})^{t /10}$

D.

$T (t) = 72 + 108 (\frac{13}{18})^{t}$