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

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3 answers

To find the change in temperature from 9 a.m. to noon, we can set up the following equation:

\[ \text{Change in temperature} = \text{Temperature at noon} - \text{Temperature at 9 a.m.} \]

Substituting the temperatures into the equation:

\[ \text{Change in temperature} = (-1.6) - (-5.8) \]

Now, when we subtract a negative number, it is the same as adding its positive counterpart:

\[ \text{Change in temperature} = -1.6 + 5.8 \]

Next, we perform the addition:

\[ -1.6 + 5.8 = 4.2 \]

Thus, the change in temperature is:

\[ \text{Change in temperature} = 4.2 \text{ degrees Celsius} \]

Explanation:

The result of 4.2 degrees Celsius indicates that the temperature increased by 4.2 degrees Celsius from 9 a.m. to noon. Initially, the temperature was -5.8 degrees Celsius, which is quite cold. By noon, the temperature had risen to -1.6 degrees Celsius. This means the air became warmer over the three-hour period.

make it into 3 sentences

The change in temperature from 9 a.m. to noon is calculated by subtracting the temperature at 9 a.m. (-5.8 degrees Celsius) from the temperature at noon (-1.6 degrees Celsius), resulting in a change of 4.2 degrees Celsius. This indicates that the temperature increased by 4.2 degrees Celsius during this time period. Therefore, the air became warmer, rising from a very cold -5.8 degrees Celsius to a less cold -1.6 degrees Celsius.