Math Problem Statement
Solution
The image appears to show a question about plotting a graph based on time and temperature, with a scenario involving temperature changes throughout the day.
The problem states:
- At 6 a.m., the temperature was 60°F.
- Over the next 3 hours, the temperature dropped by 1°F per hour.
- For the next 2 hours, the temperature rose by 4°F per hour.
- Then it stayed steady until 6 p.m.
- After 6 p.m., the temperature dropped steadily until midnight, where it was 54°F.
The task is likely asking to graph the changes in temperature over time based on this information.
Steps for Plotting:
- 6 a.m. to 9 a.m.: The temperature decreases by 1°F per hour. Starting at 60°F, at 9 a.m. the temperature would be 57°F.
- 9 a.m. to 11 a.m.: The temperature increases by 4°F per hour. By 11 a.m., the temperature would be 65°F.
- 11 a.m. to 6 p.m.: The temperature stays steady at 65°F for 7 hours.
- 6 p.m. to midnight: The temperature steadily decreases until it reaches 54°F at midnight.
You would need to plot these segments, adjusting the slope of each segment according to the rate of temperature change, and ensure the times correspond correctly on the x-axis.
Would you like help with a more detailed breakdown or graphing this situation?
Here are five questions to consider:
- How do you calculate the rate of temperature change over time?
- What would the graph look like for a constant temperature?
- How
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Math Problem Analysis
Mathematical Concepts
Graphing
Slope
Temperature Change Over Time
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Theorems
Basic principles of linear graphs and constant rates of change
Suitable Grade Level
Grade 7-10