Question

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following function, where x is the number of minute since the can was placed in the cooler.T(x)=-6+24e^-0.038xFind the intial temperature of the soda and its temperature after 20 mintues. Round your answers to the nearest degrees as necessary.Initial temperature:___ celsius.Temperature after 20 minutes:__celsius.

Answer 1

Initial 18 degrees Celsius

After 20 minutes, 5 degrees Celsius

Explanation:

It’s initial temperature can be calculated as at the time when x = 0

When x = 0, the temperature is -6+24 = 18 degrees Celsius

This is because the exponent part equals 1 since anything raised in to the power of zero is one.

After twenty minutes,

T(x) = -6 +24e^-0.038(20)

T(x) = -6 + 11.224 = 5.224

And that is approximately 5 degrees Celsius to the nearest degree