Question

Solve the following word problem the air temperature at 9:00 a.m. is 95.8° C the air temperature at noon is -1.6° C what is the change in the temperature during these 3 hours right and solve an equation to show your answer then explain what your answer means

Answer 1

To find the change in temperature between 9:00 a.m. and noon, we need to subtract the temperature at noon from the temperature at 9:00 a.m.

Let's define the temperatures:
- Temperature at 9:00 a.m. = \( T_1 = 95.8^\circ C \)
- Temperature at noon = \( T_2 = -1.6^\circ C \)

The change in temperature (\( \Delta T \)) can be calculated using the equation:

\[
\Delta T = T_2 - T_1
\]

Substituting the values:

\[
\Delta T = -1.6^\circ C - 95.8^\circ C
\]

Now, let's perform the calculation:

\[
\Delta T = -1.6 - 95.8 = -97.4
\]

So, the change in temperature is:

\[
\Delta T = -97.4^\circ C
\]

### Explanation of the Answer:
The negative sign indicates that the temperature has decreased. A change of \(-97.4^\circ C\) means that the temperature dropped significantly from 95.8° C at 9:00 a.m. to -1.6° C at noon. This dramatic decrease in temperature could suggest a major weather event or a significant change in environmental conditions during that time period.