Question

during a winter storm the temp on the top of the mountain changed an average of -2.5 every hour for 12 hours at noon the temp was -5 it changed 1/5 of the rate at the bottom of the mountain what is the temp at the bottom of the mountain

Answer 1

To find the temperature at the bottom of the mountain at midnight, we calculate the rate of change at the top, apply the factor of 1/5 for the bottom, and adjust the initial temperature by the total change over 12 hours, which results in -11 degrees.

Step-by-step explanation:

The temperature at the top of the mountain drops -2.5 degrees every hour for 12 hours. Starting at -5 degrees at noon, the top temperature at midnight will be -5 - (2.5 \times 12) = -35 degrees.

At the bottom of the mountain, the temperature changes at 1/5 the rate of the top. This means the bottom temperature changes -2.5 \times (1/5) = -0.5 degrees every hour. Over 12 hours, this leads to a change of -0.5 \times 12 = -6 degrees.

So, the temperature at the bottom of the mountain at midnight will be -5 - 6 = -11 degrees.