At midnight, the temperature was 34°F. By 6:00 a. m. it had dropped 8°, and by noon it had increased by 11°. What was the temperature at noon?

The temperature at noon was 37 °F.

Step-by-step explanation:

Given:

Temperature at midnight is 34 °F.

Reduction in temperature by 6:00 a. m. is 8°. So, temperature after reduction is given as the difference in temperature at midnight and morning.

Therefore, temperature by 6:00 a. m. in the morning is given as:

Reduced temperature = Midnight temperature - Reduction in temperature.

Reduced temperature = 34 °F - 8 °F = 26 °F.

Now, by noon, the temperature is increased by 11 °F. Therefore, the final temperature by noon is addition of 11 degree to the temperature that was in the morning. Therefore,

Temperature at noon = Temperature in morning + Increase in temperature.

Temperature at noon = 26 °F + 11 °F = 37 °F.

So, the temperature at noon is a 3 °F increase to the temperature at midnight and is equal to 37 °F.