T(x) = -7+25e^-0.045x

Question

A can of soda is placed inside a cooler. As the soda cools, its temperature in degrees Celsius is given by the following function, where is the number of minutes since the can was placed in the cooler.

Find the initial temperature of the soda and its temperature after 15

 minutes. 

Round your answers to the nearest degree as necessary. 

T(x)= -7 + 25e^-0.045x

Answer 1

By inspection, the initial temperature = -7 + 25 = 18

T(15) = -7 + 25exp( (-.045)(15) ) = 5.73 Celsius