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#14788

functions

exponential

applications

hard

150 sec

A container of liquid is placed in a freezer held at a constant temperature of 10 $°$ C. The liquid's initial temperature is 90 $°$ C. After 5 minutes, the liquid's temperature is 60 $°$ C. Which of the following functions best models the temperature $L (m)$ , in degrees Celsius, of the liquid $m$ minutes after being placed in the freezer?

A.

$L (m) = 90 + 10 (\frac{5}{8})^{m}$

B.

$L (m) = 10 + 80 (\frac{5}{8})^{\frac{m}{5}}$

C.

$L (m) = 80 (\frac{5}{8})^{\frac{m}{5}}$

D.

$L (m) = 10 + 80 (\frac{5}{8})^{m}$