Answer :
Certainly! Let's work through the problem step by step to find out the changes in temperature.
### Scenario 1: Temperature Rose from -9°C to 3°C
1. Initial Temperature: -9 degrees Celsius
2. Final Temperature: 3 degrees Celsius
To find the change in temperature, subtract the initial temperature from the final temperature:
- Change in Temperature = Final Temperature - Initial Temperature = 3 - (-9)
When we subtract a negative number, it's the same as adding the positive equivalent:
- Change in Temperature = 3 + 9 = 12 degrees Celsius
So, the temperature increased by 12 degrees Celsius.
### Solve for [tex]\( m \)[/tex] in the equation [tex]\( 3 + m = -9 \)[/tex]:
To isolate [tex]\( m \)[/tex], subtract 3 from both sides of the equation:
- [tex]\( m = -9 - 3 \)[/tex]
- [tex]\( m = -12 \)[/tex]
Therefore, [tex]\( m = -12 \)[/tex] in this scenario.
---
### Scenario 2: Temperature Fell from 3°C to -9°C
1. Initial Temperature: 3 degrees Celsius
2. Final Temperature: -9 degrees Celsius
To find the change in temperature, use the same method:
- Change in Temperature = Final Temperature - Initial Temperature = -9 - 3
This calculation gives:
- Change in Temperature = -12 degrees Celsius
This means the temperature decreased by 12 degrees Celsius.
### Solve for [tex]\( m \)[/tex] in the equation [tex]\(-9 + m = 3 \)[/tex]:
To find [tex]\( m \)[/tex], add 9 to both sides:
- [tex]\( m = 3 + 9 \)[/tex]
- [tex]\( m = 12 \)[/tex]
So, in this case, [tex]\( m = 12 \)[/tex].
In summary:
- The temperature increased by 12 degrees Celsius in the first situation.
- The temperature decreased by 12 degrees Celsius in the second situation.
### Scenario 1: Temperature Rose from -9°C to 3°C
1. Initial Temperature: -9 degrees Celsius
2. Final Temperature: 3 degrees Celsius
To find the change in temperature, subtract the initial temperature from the final temperature:
- Change in Temperature = Final Temperature - Initial Temperature = 3 - (-9)
When we subtract a negative number, it's the same as adding the positive equivalent:
- Change in Temperature = 3 + 9 = 12 degrees Celsius
So, the temperature increased by 12 degrees Celsius.
### Solve for [tex]\( m \)[/tex] in the equation [tex]\( 3 + m = -9 \)[/tex]:
To isolate [tex]\( m \)[/tex], subtract 3 from both sides of the equation:
- [tex]\( m = -9 - 3 \)[/tex]
- [tex]\( m = -12 \)[/tex]
Therefore, [tex]\( m = -12 \)[/tex] in this scenario.
---
### Scenario 2: Temperature Fell from 3°C to -9°C
1. Initial Temperature: 3 degrees Celsius
2. Final Temperature: -9 degrees Celsius
To find the change in temperature, use the same method:
- Change in Temperature = Final Temperature - Initial Temperature = -9 - 3
This calculation gives:
- Change in Temperature = -12 degrees Celsius
This means the temperature decreased by 12 degrees Celsius.
### Solve for [tex]\( m \)[/tex] in the equation [tex]\(-9 + m = 3 \)[/tex]:
To find [tex]\( m \)[/tex], add 9 to both sides:
- [tex]\( m = 3 + 9 \)[/tex]
- [tex]\( m = 12 \)[/tex]
So, in this case, [tex]\( m = 12 \)[/tex].
In summary:
- The temperature increased by 12 degrees Celsius in the first situation.
- The temperature decreased by 12 degrees Celsius in the second situation.
