Question
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One spring day, Claire noted the time of day and the temperature, in
degrees Fahrenheit. Her findings are as follows: At 6 a.m., the
temperature was F. For the next 6 hours, the temperature rose
per hour. For the next 3 hours, it rose per hour. The temperature
then stayed steady until 6 p . For . For the next 4 hours, the temperature
dropped per hour. The temperature then dropped steadily until the
temperature was at midnight. On the set of axes below, graph
Claire’s data.

Ask by Li Barnett. in the United States
Dec 18,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

To graph Claire’s temperature data:
  1. Plot the following points:
    • 6:00 a.m. at 52°F
    • 12:00 p.m. at 64°F
    • 3:00 p.m. at 73°F
    • 6:00 p.m. at 73°F
    • 10:00 p.m. at 65°F
    • 12:00 a.m. at 63°F
  2. Connect the points with straight lines to show the temperature changes over time.
This will create a visual representation of Claire’s temperature data throughout the day.

Solution

To graph Claire’s temperature data throughout the day, we will first summarize the temperature changes step by step, then create a time-temperature table, and finally plot the data points.

Step 1: Summarize the Temperature Changes

  1. At 6 a.m.: The temperature is F.
  2. From 6 a.m. to 12 p.m. (6 hours): The temperature rises per hour.
    • Total increase:
    • Temperature at 12 p.m.: F.
  3. From 12 p.m. to 3 p.m. (3 hours): The temperature rises per hour.
    • Total increase:
    • Temperature at 3 p.m.: F.
  4. From 3 p.m. to 6 p.m. (3 hours): The temperature stays steady at F.
  5. From 6 p.m. to 10 p.m. (4 hours): The temperature drops per hour.
    • Total decrease:
    • Temperature at 10 p.m.: F.
  6. From 10 p.m. to midnight (2 hours): The temperature drops steadily to F.
    • Total decrease:
    • This means the temperature drops per hour for 2 hours.

Step 2: Create a Time-Temperature Table

Time Temperature (°F)
6:00 a.m. 52
12:00 p.m. 64
3:00 p.m. 73
6:00 p.m. 73
10:00 p.m. 65
12:00 a.m. 63

Step 3: Plot the Data Points

Now we can plot the points on a graph with time on the x-axis and temperature on the y-axis.
  1. Plot the points:
    • (6:00 a.m., 52)
    • (12:00 p.m., 64)
    • (3:00 p.m., 73)
    • (6:00 p.m., 73)
    • (10:00 p.m., 65)
    • (12:00 a.m., 63)
  2. Connect the points:
    • Connect the points with straight lines to represent the temperature changes over time.

Graphing

Since I cannot create visual graphs directly, you can use graphing software or graph paper to plot the points and connect them as described. The x-axis will represent time (from 6 a.m. to midnight), and the y-axis will represent temperature (from 52°F to 73°F).
This will give you a clear visual representation of how the temperature changes throughout the day.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Explain
Simplify this solution

Mind Expander

Oh, this sounds like a delightful little challenge! Let’s break down Claire’s temperature data, step by step, before graphing it.
First, at 6 a.m., the temperature starts at F. For the next 6 hours, it increases by per hour (that’s degrees), bringing us to at noon.
Then, from noon to 3 p.m., it rises by per hour for 3 hours (that’s degrees more), reaching .
After 3 p.m., the temperature stays steady at until 6 p.m.
Now, from 6 p.m. to 10 p.m., it drops by per hour, totaling a degrees decrease. So, we have F at 10 p.m.
After this, it continues to decrease steadily to reach F at midnight.
So, with all that information, you can plot the points:
  • 6 a.m.
  • 12 p.m.
  • 3 p.m.
  • 6 p.m.
  • 10 p.m.
  • 12 a.m.
Connect the dots and you’ll find a lovely temperature curve throughout Claire’s day!
Now, remember, the key to creating a great graph is labeling your axes clearly: the x-axis for time (in hours) and the y-axis for temperature (in degrees Fahrenheit). Enjoy plotting!

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