Question
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?
Question content area bottom
Part 1
Which expression represents the change in temperature for City A?
A.
4plus7
B.
minus4plus7
C.
4plus(minus7)
Your answer is correct.D.
minus4plus(minus7)
Part 2
What is the change in temperature for City A?
For City A, the temperature change is
negative 3.
Part 3
Which expression represents the change in temperature for City B?
A.
minus6plus2
B.
6plus2
C.
6plus(minus2)
D.
minus6plus(minus2)
Use pencil and paper. Which city has the greater change in temperature?
Question content area bottom
Part 1
Which expression represents the change in temperature for City A?
A.
4plus7
B.
minus4plus7
C.
4plus(minus7)
Your answer is correct.D.
minus4plus(minus7)
Part 2
What is the change in temperature for City A?
For City A, the temperature change is
negative 3.
Part 3
Which expression represents the change in temperature for City B?
A.
minus6plus2
B.
6plus2
C.
6plus(minus2)
D.
minus6plus(minus2)
Answers
Answered by
GPT-4o mini
To analyze the temperature changes for City A and City B, let's first establish what the expressions represent for these cities based on your initial information that there is a drop of 2 degrees Fahrenheit from 9 A.M. to 10 A.M.
### Part 1: City A
From the options provided, we need to represent the change in temperature for City A.
Let's assume:
- The temperature at 8 A.M. is 4°F.
- The temperature at 9 A.M. is -7°F.
- The temperature decreases by 2°F from 9 A.M. to 10 A.M.
Now we can summarize the changes:
- From 8 A.M. to 9 A.M.: \( 4°F \) to \(-7°F\):
\[
-7 - 4 = -11° \text{ (a drop of 11 degrees)}
\]
- From 9 A.M. to 10 A.M.:
\[
-7 - 2 = -9°
\]
- Total change from 8 A.M. to 10 A.M. is:
\[
-11 - 2 = -13°
\]
So, the expression to represent the total change in temperature from 8 A.M. to 10 A.M. for City A would be:
\[
4 + (-7) + (-2)
\]
Matching it with the options:
- A. \(4 + 7\)
- B. \(-4 + 7\)
- C. \(4 + (-7)\) (This is correct!)
- D. \(-4 + (-7)\)
**Answer for City A:** C. \(4 + (-7)\)
### Part 2: Change in Temperature for City A
As calculated, the total change in temperature from 8 A.M. to 10 A.M. for City A is -13°F.
**Answer for City A:** The change in temperature is \(-13°F\).
---
### Part 3: City B
Now let's assume:
- The temperature at 8 A.M. is 6°F.
- The temperature at 9 A.M. is 2°F.
- The temperature from 9 A.M. to 10 A.M. drops by 2°F.
Now we can summarize the changes:
1. From 8 A.M. to 9 A.M.: \(6°F \) to \(2°F\):
\[
2 - 6 = -4° \text{ (a drop of 4 degrees)}
\]
2. From 9 A.M. to 10 A.M.:
\[
2 - 2 = 0°
\]
3. Total change from 8 A.M. to 10 A.M.:
\[
-4 + 0 = -4°
\]
The expression to represent the total change in temperature from 8 A.M. to 10 A.M. for City B would be:
\[
6 + (-6) + (-2)
\]
Based on the provided options, we can evaluate:
- A. \(-6 + 2\)
- B. \(6 + 2\)
- C. \(6 + (-2)\)
- D. \(-6 + (-2)\)
### Answer for City B
The correct representation of the change in temperature for City B is likely not clearly defined from the given options, but it can be assumed to fit within option C, indicating a transition.
Therefore, we would lean towards option **C. \(6 + (-2)\)**.
### Summary
- **City A Total Change:** -13°F
- **City B Total Change:** -4°F
Thus, **City A has a greater change in temperature** with a drop of **-13°F**, compared to City B's change of **-4°F**.
### Part 1: City A
From the options provided, we need to represent the change in temperature for City A.
Let's assume:
- The temperature at 8 A.M. is 4°F.
- The temperature at 9 A.M. is -7°F.
- The temperature decreases by 2°F from 9 A.M. to 10 A.M.
Now we can summarize the changes:
- From 8 A.M. to 9 A.M.: \( 4°F \) to \(-7°F\):
\[
-7 - 4 = -11° \text{ (a drop of 11 degrees)}
\]
- From 9 A.M. to 10 A.M.:
\[
-7 - 2 = -9°
\]
- Total change from 8 A.M. to 10 A.M. is:
\[
-11 - 2 = -13°
\]
So, the expression to represent the total change in temperature from 8 A.M. to 10 A.M. for City A would be:
\[
4 + (-7) + (-2)
\]
Matching it with the options:
- A. \(4 + 7\)
- B. \(-4 + 7\)
- C. \(4 + (-7)\) (This is correct!)
- D. \(-4 + (-7)\)
**Answer for City A:** C. \(4 + (-7)\)
### Part 2: Change in Temperature for City A
As calculated, the total change in temperature from 8 A.M. to 10 A.M. for City A is -13°F.
**Answer for City A:** The change in temperature is \(-13°F\).
---
### Part 3: City B
Now let's assume:
- The temperature at 8 A.M. is 6°F.
- The temperature at 9 A.M. is 2°F.
- The temperature from 9 A.M. to 10 A.M. drops by 2°F.
Now we can summarize the changes:
1. From 8 A.M. to 9 A.M.: \(6°F \) to \(2°F\):
\[
2 - 6 = -4° \text{ (a drop of 4 degrees)}
\]
2. From 9 A.M. to 10 A.M.:
\[
2 - 2 = 0°
\]
3. Total change from 8 A.M. to 10 A.M.:
\[
-4 + 0 = -4°
\]
The expression to represent the total change in temperature from 8 A.M. to 10 A.M. for City B would be:
\[
6 + (-6) + (-2)
\]
Based on the provided options, we can evaluate:
- A. \(-6 + 2\)
- B. \(6 + 2\)
- C. \(6 + (-2)\)
- D. \(-6 + (-2)\)
### Answer for City B
The correct representation of the change in temperature for City B is likely not clearly defined from the given options, but it can be assumed to fit within option C, indicating a transition.
Therefore, we would lean towards option **C. \(6 + (-2)\)**.
### Summary
- **City A Total Change:** -13°F
- **City B Total Change:** -4°F
Thus, **City A has a greater change in temperature** with a drop of **-13°F**, compared to City B's change of **-4°F**.