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#14786

functions

exponential

applications

hard

150 sec

A mug of coffee is placed in a room maintained at a constant temperature of 65 $°$ F. The coffee's temperature is 190 $°$ F at 8:00 a.m. At 8:04 a.m., the temperature has dropped to 160 $°$ F. Which of the following functions best models the temperature $T (m)$ , in degrees Fahrenheit, of the coffee $m$ minutes after 8:00 a.m.?

A.

$T (m) = 190 + 65 (0.76)^{m}$

B.

$T (m) = 65 + 125 (0.76)^{\frac{m}{4}}$

C.

$T (m) = 65 (0.76)^{\frac{m}{4}}$

D.

$T (m) = 190 (0.76)^{\frac{m}{4}}$