Question
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.
degrees Fahrenheit. Her findings are as follows: At 6 a.m., the
temperature was
per hour. For the next 3 hours, it rose
then stayed steady until 6 p . For . For the next 4 hours, the temperature
dropped
temperature was
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:
-
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
-
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
- At 6 a.m.: The temperature is
F. - From 6 a.m. to 12 p.m. (6 hours): The temperature rises
per hour. - Total increase:
- Temperature at 12 p.m.:
F.
- Total increase:
- From 12 p.m. to 3 p.m. (3 hours): The temperature rises
per hour. - Total increase:
- Temperature at 3 p.m.:
F.
- Total increase:
- From 3 p.m. to 6 p.m. (3 hours): The temperature stays steady at
F. - From 6 p.m. to 10 p.m. (4 hours): The temperature drops
per hour. - Total decrease:
- Temperature at 10 p.m.:
F.
- Total decrease:
- 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.
- Total decrease:
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.
-
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)
-
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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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!