Question

the temperature at a ski resort was 12°f at 5:00 a.m. if the temperature increased by 1.5°f each hour, what would be the temperature at 12 noon? 7.5°f 13.5°f 17.5°f 22.5°f

Explanation:

Step1: Calculate the number of hours from 5:00 A.M. to 12 noon.

From 5:00 A.M. to 12 noon, the number of hours is \(12 - 5 = 7\) hours.

Step2: Calculate the total increase in temperature.

The temperature increases by \(1.5^{\circ}\text{F}\) each hour, so for 7 hours, the total increase is \(1.5\times7 = 10.5^{\circ}\text{F}\).

Step3: Calculate the temperature at 12 noon.

The initial temperature at 5:00 A.M. is \(12^{\circ}\text{F}\), so the temperature at 12 noon is \(12 + 10.5 = 22.5^{\circ}\text{F}\)? Wait, no, wait, let's recalculate. Wait, 1.57 is 10.5? Wait, 1.57: 17=7, 0.57=3.5, so 7+3.5=10.5. Then 12+10.5=22.5? But wait, the options have 22.5 as an option. Wait, but let's check again. Wait, 5 AM to 12 noon is 7 hours? Wait, 5 AM to 6 AM is 1 hour, ..., 5 AM to 12 PM (noon) is 7 hours? Wait, 5 to 12 is 7 hours? 12 - 5 = 7, yes. So 1.5 per hour for 7 hours: 1.57=10.5. Then initial temp 12, so 12+10.5=22.5. So the answer should be 22.5°F. Wait, but let me check the options again. The options are 7.5, 13.5, 17.5, 22.5. So 22.5 is an option. Wait, but maybe I made a mistake in the number of hours. Wait, 5:00 AM to 12:00 noon: 12 - 5 = 7 hours. Yes. So 1.57=10.5. 12+10.5=22.5. So the correct answer is 22.5°F.

Answer:

22.5°F (Option: 22.5°F)