Solve the following word problem the air temperature at 9 AM is -5.8°C. Is there a temperature at noon is -1.6°C. What is the changing the temperature during these three hours right and solve an equation to show your answer, then explain your answer means.

Answer 1

To find the change in temperature during the three hours from 9 AM to noon, we need to subtract the initial temperature from the final temperature.

The initial temperature at 9 AM is -5.8°C, and the final temperature at noon is -1.6°C. Subtracting the initial temperature from the final temperature gives us:

-1.6°C - (-5.8°C) = -1.6°C + 5.8°C = 4.2°C

So, the change in temperature during these three hours is 4.2°C.

The equation to represent this change in temperature is:
Final temperature - Initial temperature = Change in temperature

Let T be the final temperature, T0 be the initial temperature, and ΔT be the change in temperature. The equation becomes:
T - T0 = ΔT

In this case, T = -1.6°C, T0 = -5.8°C, and ΔT = 4.2°C.

Substituting these values into the equation, we have:
-1.6°C - (-5.8°C) = 4.2°C

Simplifying the equation further, we get:
-1.6°C + 5.8°C = 4.2°C

Therefore, the equation -1.6°C + 5.8°C = 4.2°C represents the change in temperature during the three hours from 9 AM to noon. It means that the temperature increased by 4.2°C during that time period.