Question

The temperature is 45°F and decreases by 2°F every hour, which inequality represents the condition for the temperature (T) to be below 32°F after h hours?

Answer 1

The inequality representing the condition for the temperature to be below 32°F after h hours is h > 6.5.

Step-by-step explanation:

To find the condition for the temperature to be below 32°F after h hours with a decrease of 2°F each hour, we can set up the inequality:

T - 2h < 32

where T represents the initial temperature. To find the value of T, we can substitute the given initial temperature of 45°F into the inequality:

45 - 2h < 32

Simplifying the inequality, we get:

13 < 2h

Dividing both sides of the inequality by 2, we have:

6.5 < h

Therefore, the condition for the temperature to be below 32°F after h hours is h > 6.5.