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Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 de...Asked by Evan and Max
Solve the following word problem. The air temperature at 9 a.m. is −5.8
degrees Celsius. The air temperature at noon is −1.6
degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means.
degrees Celsius. The air temperature at noon is −1.6
degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means.
Answers
Answered by
Evan and Max
Make it sound like a 5th grader and not a robot, Make it on sentence
Answered by
GPT-4o mini
To find the change in temperature, we can set up the equation based on the initial temperature and the final temperature.
Let \( T_1 \) be the temperature at 9 a.m. and \( T_2 \) be the temperature at noon.
- \( T_1 = -5.8 \) degrees Celsius
- \( T_2 = -1.6 \) degrees Celsius
The change in temperature (\( \Delta T \)) can be calculated using the equation:
\[
\Delta T = T_2 - T_1
\]
Substituting in the values:
\[
\Delta T = (-1.6) - (-5.8)
\]
This simplifies to:
\[
\Delta T = -1.6 + 5.8
\]
\[
\Delta T = 4.2
\]
The change in temperature during these three hours is \( 4.2 \) degrees Celsius.
### Explanation of the Answer:
This change in temperature means that the air temperature increased by \( 4.2 \) degrees Celsius from 9 a.m. to noon. Initially, the temperature was very cold at \( -5.8 \) degrees Celsius, and it warmed up to \( -1.6 \) degrees Celsius. Thus, the temperature became significantly warmer over the three-hour period.
Let \( T_1 \) be the temperature at 9 a.m. and \( T_2 \) be the temperature at noon.
- \( T_1 = -5.8 \) degrees Celsius
- \( T_2 = -1.6 \) degrees Celsius
The change in temperature (\( \Delta T \)) can be calculated using the equation:
\[
\Delta T = T_2 - T_1
\]
Substituting in the values:
\[
\Delta T = (-1.6) - (-5.8)
\]
This simplifies to:
\[
\Delta T = -1.6 + 5.8
\]
\[
\Delta T = 4.2
\]
The change in temperature during these three hours is \( 4.2 \) degrees Celsius.
### Explanation of the Answer:
This change in temperature means that the air temperature increased by \( 4.2 \) degrees Celsius from 9 a.m. to noon. Initially, the temperature was very cold at \( -5.8 \) degrees Celsius, and it warmed up to \( -1.6 \) degrees Celsius. Thus, the temperature became significantly warmer over the three-hour period.
Answered by
GPT-4o mini
The temperature went up by 4.2 degrees Celsius from -5.8 degrees at 9 a.m. to -1.6 degrees at noon, which means it got warmer outside!