Math Problem Statement
The outside temperature at 4 PM was 8°C the temperature decreased 3.5 Celsius each hour until 10 PM. What was the temperature at 10 PM?
Solution
To find the temperature at 10 PM, we calculate the decrease in temperature over time. The temperature decreases by 3.5°C each hour from 4 PM to 10 PM.
There are hours in this period.
The total decrease in temperature is:
Now, subtract the total decrease from the initial temperature:
Thus, the temperature at 10 PM was .
Would you like more details or have any questions?
Here are some related questions to expand on this:
- How would the answer change if the temperature decreased by 2°C per hour instead?
- What if the temperature decreased at a variable rate over the 6 hours?
- How could we represent this situation as a linear equation?
- What is the significance of negative temperatures in Celsius?
- How does this compare to temperature changes in Fahrenheit?
Tip: Always note the rate of change
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Relationships
Rate of Change
Formulas
Final temperature = Initial temperature - (Rate of decrease * Number of hours)
Theorems
Linear equation of temperature change
Suitable Grade Level
Grades 6-8
Related Recommendation
Calculate Temperature Change After 5 Hours Using Rate of Decrease
Calculate Temperature Change per Hour from 7.5°C to -5.3°C over 4 Hours
Calculate Overall Temperature Change Over Time
Find the Temperature After Time Using a Linear Expression
Analyzing Temperature Drop: Comparing Rates Between 4 p.m. and 10 p.m.