solve the following word problem. the air temperature at 9 a.m. is −5.8 − 5.8 degrees celsius. the air temperature at noon is −1.6 − 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.(4 points)

3 answers

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

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

Let's insert the values:

  • Temperature at 9 a.m. = \(-5.8\) degrees Celsius
  • Temperature at noon = \(-1.6\) degrees Celsius

Now let's write and solve the equation:

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

This simplifies to:

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

Calculating this gives:

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

So, the change in temperature during these three hours is \(4.2\) degrees Celsius.

Explanation of the answer:

This means that the temperature increased by \(4.2\) degrees Celsius from 9 a.m. to noon. The negative temperatures indicate that it was quite cold at both times, but the increase indicates a warming trend over the three-hour period.

explain in 4 sentences

The change in temperature from 9 a.m. to noon was \(4.2\) degrees Celsius. This calculation shows that the temperature rose from \(-5.8\) degrees Celsius at 9 a.m. to \(-1.6\) degrees Celsius at noon. The increase indicates a warming trend during that time period. It shows that while the temperature remained below freezing, it did become significantly warmer over the course of those three hours.