A can of soda at 80° 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 + 44 e^–0.058 t
Find the temperature of the soda 10 minutes after it is placed in the refrigerator.
(Round to the nearest degree.)

To find the temperature of the soda 10 minutes after it is placed in the refrigerator, we need to substitute t = 10 into the equation T(t) = 36 + 44 e^–0.058 t.

So, we have:
T(10) = 36 + 44 e^–0.058(10)

Now we can calculate it step by step:

1. Calculate -0.058(10):
-0.058(10) = -0.58

2. Calculate e^–0.58:
e^–0.58 ≈ 0.5596 (rounded to four decimal places)

3. Multiply 44 by 0.5596:
44 × 0.5596 ≈ 24.624 (rounded to three decimal places)

4. Add 24.624 to 36:
36 + 24.624 ≈ 60.624 (rounded to three decimal places)

Therefore, the temperature of the soda 10 minutes after it is placed in the refrigerator is approximately 61°F (degrees Fahrenheit).