A can of soda at 79°F is placed in a refrigerator that maintains a constant temperature of 36°F. The temperature T of the soda t minutes after it is placed in the refrigerator is given by

T(t) = 36 + 43e−0.058t.
(a) Find the temperature, to the nearest degree, of the soda 14 minutes after it is placed in the refrigerator.

well, that would clearly be

36 + 43e^(-0.058*14)

To find the temperature of the soda 14 minutes after it is placed in the refrigerator, we can substitute t = 14 into the equation T(t) = 36 + 43e^(-0.058t).

T(14) = 36 + 43e^(-0.058 * 14)
= 36 + 43e^(-0.812)

To get the temperature to the nearest degree, we can use a calculator to evaluate this expression.

T(14) ≈ 79.684

Therefore, the temperature of the soda 14 minutes after it is placed in the refrigerator is approximately 80 degrees Fahrenheit.