Math Problem Statement

One spring day, Savannah noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 60°F. For the next 3 hours, the temperature *dropped* 1°F per hour. For the next 2 hours, it *rose* 4°F per hour. The temperature then stayed steady until 6 p.m. The temperature then dropped steadily until midnight. At midnight, the temperature was 54°F. The task is to graph Savannah's data on a given graph.

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:

  1. 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.
  2. 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.
  3. 11 a.m. to 6 p.m.: The temperature stays steady at 65°F for 7 hours.
  4. 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:

  1. How do you calculate the rate of temperature change over time?
  2. What would the graph look like for a constant temperature?
  3. 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