Math Problem Statement
Lee is a meteorologist at a local weather station. He is studying a cold front that came in this morning. The temperature has dropped 6 degrees each hour for the last 7 hours. What was the change in temperature from the cold front after the 7 hours? Choose the sign of your answer to represent an increase or a decrease.
Solution
To solve this problem:
The temperature has dropped degrees per hour for hours.
The total change in temperature is calculated as:
Substitute the values:
The negative sign represents a decrease in temperature.
Final Answer: The temperature change was degrees.
Would you like further details or clarifications? Here are 5 related questions to extend your understanding:
- If the temperature had increased 5 degrees per hour for 4 hours, what would the total change in temperature be?
- What would the new temperature be if the starting temperature was 20 degrees before the 7-hour drop?
- How would you represent this problem on a graph of temperature versus time?
- If the rate of temperature drop was halved, how would the total change differ after 7 hours?
- How can you represent positive and negative changes mathematically in other real-world situations?
Tip: Always associate the sign of a number with its meaning (e.g., negative for decrease, positive for increase) to keep track of changes effectively!
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Math Problem Analysis
Mathematical Concepts
Multiplication
Negative Numbers
Rate of Change
Formulas
Total change = Rate of change per hour × Number of hours
Theorems
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Suitable Grade Level
Grade 6-8