Question

in City​ A, the temperature rises 4degreesF from 8 A.M. to 9 A.M. Then the temperature drops 7degreesF from 9 A.M. to 10 A.M. In City​ B, the temperature drops 6degreesF from 8 A.M. to 9 A.M. Then the temperature drops 2degreesF from 9 A.M. to 10 A.M. Write an expression that represents the change in temperature from 8 A.M. to 10 A.M. for each city. Simplify and interpret each sum.
Use pencil and paper. Which city has the greater change in​ temperature?

Which expression represents the change in temperature for City​ A?

Answer 1

To determine the change in temperature from 8 A.M. to 10 A.M. for each city, we can create expressions based on the temperature changes throughout that time frame.

### City A:
1. **Temperature change from 8 A.M. to 9 A.M.**: The temperature rises by 4°F.
2. **Temperature change from 9 A.M. to 10 A.M.**: The temperature drops by 7°F.

Now, we can create the expression for City A:

\[
\text{Change in Temperature for City A} = 4 + (-7)
\]

This simplifies to:

\[
4 - 7 = -3
\]

Thus, the overall change in temperature for City A from 8 A.M. to 10 A.M. is a drop of 3°F.

### City B:
1. **Temperature change from 8 A.M. to 9 A.M.**: The temperature drops by 6°F.
2. **Temperature change from 9 A.M. to 10 A.M.**: The temperature drops by 2°F.

Now, we can create the expression for City B:

\[
\text{Change in Temperature for City B} = -6 + (-2)
\]

This simplifies to:

\[
-6 - 2 = -8
\]

Thus, the overall change in temperature for City B from 8 A.M. to 10 A.M. is a drop of 8°F.

### Summary:
- **Change in temperature for City A**: -3°F
- **Change in temperature for City B**: -8°F

### Conclusion:
City A has a lesser change in temperature (a drop of 3°F) compared to City B (a drop of 8°F). Therefore, **City A has the greater change in temperature** when considering how much the temperature rose or fell!