Question

Solve.

W. Altus is climbing 3000 ft to the top of a mountain. The temperature was
60°F when he started, but he expects it to drop 3.6° with each 1000 ft of
elevation gain. Find the expected temperature after each 1000-ft gain.

Answer 1

The temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.

Explanation:

Given that W. Altus is climbing 3,000 feet to the top of a mountain, starting at a temperature of 60ºF, which decreases 3.6ºF every 1,000 feet of elevation, to determine the temperature every 1,000 feet of elevation, the following calculations must be performed:

0 feet = 60ºF

1,000 feet = 60ºF - 3.6ºF = 56.4ºF

2,000 feet = 56.4ºF - 3.6ºF = 52.8ºF

3,000 feet = 52.8ºF - 3.6ºF = 49.2ºF

Thus, the temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.