Question

One spring day, Zachary noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 50° F. For the next 3 hours, the temperature rose 4° per hour. For the next 4 hours, it rose 2° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 58° at midnight.

a.create a graph for Zachary's data.

Answer 1

A graph with time on the x-axis and temperature on the y-axis, connecting them with lines to represent the temperature changes.

To create a graph for Zachary's temperature data, you can use a line graph to represent the temperature changes over time. The x-axis will represent time, and the y-axis will represent the temperature in degrees Fahrenheit. Here's a step-by-step breakdown of the data:

6 a.m. to 9 a.m. (3 hours): The temperature rises 4° per hour.

6 a.m.: 50°

7 a.m.: 50° + 4° = 54°

8 a.m.: 54° + 4° = 58°

9 a.m.: 58° + 4° = 62°

9 a.m. to 1 p.m. (4 hours): The temperature rises 2° per hour.

9 a.m.: 62°

10 a.m.: 62° + 2° = 64°

11 a.m.: 64° + 2° = 66°

12 p.m.: 66° + 2° = 68°

1 p.m.: 68° + 2° = 70°

1 p.m. to 4 p.m. (3 hours): The temperature stays steady.

1 p.m. to 4 p.m.: 70°

4 p.m. to 7 p.m. (3 hours): The temperature drops 3° per hour.

4 p.m.: 70°

5 p.m.: 70° - 3° = 67°

6 p.m.: 67° - 3° = 64°

7 p.m.: 64° - 3° = 61°

7 p.m. to 12 a.m. (5 hours): The temperature drops steadily.

7 p.m. to 12 a.m.: 61° - 3° per hour

Here's a table summarizing the data:

​Now, you can plot these points on a graph with time on the x-axis and temperature on the y-axis, connecting them with lines to represent the temperature changes.