Question

The temperature of a mug of hot chocolate in degrees Fahrenheit is given by h(t) = 70 * 100(0.819)^t, where t is the time, in minutes, after it is prepared. If t = 0 represents the initial temperature, what will be the temperature after 5 minutes?

a) Approximately 51.45°F
b) Approximately 55.21°F
c) Approximately 59.74°F
d) Approximately 47.89°F

Answer 1

The temperature of the hot chocolate after 5 minutes will be approximately 3395.9 degrees Fahrenheit.

Step-by-step explanation:

The temperature of a mug of hot chocolate after 5 minutes can be found by plugging in the value of t=5 in the given formula h(t) = 70 * 100(0.819)^t.

So, h(5) = 70 * 100(0.819)^5.

Calculating this, we get h(5) ≈ 70 * 100 * 0.4837 ≈ 3395.9.

Therefore, the temperature after 5 minutes will be approximately 3395.9 degrees Fahrenheit.