One spring day, Josue noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 50 deg * F For the next 2 hours, the temperature rose 4º per hour. For the next 6 hours, it rose 1 deg per hour. The temperature then stayed steady until 6 p.m. For the next 4 hours, the temperature dropped 1 deg per hour. The temperature then dropped steadily until the temperature was 59 deg at midnight. On the set of axes below, graph Josue's data.

1 answer

Since there is no graph provided, I cannot directly graph Josue's data. However, I can provide a step-by-step guide on how to graph the given data on a coordinate plane.
1. Draw a horizontal line to represent the x-axis and a vertical line to represent the y-axis.
2. Label the x-axis with the hours of the day from 6 a.m. to midnight. (0 to 18)
3. Label the y-axis with the temperature values from 50ºF to 59ºF. (50 to 59)
4. Mark a point at (0, 50) to represent the temperature at 6 a.m.
5. From this starting point, draw a line segment going upwards and to the right, with a slope of 4/1. This represents the temperature increasing by 4º per hour for the next 2 hours.
6. At the end of this line segment (point A), mark the time as 8 a.m. and the temperature as 58ºF.
7. From point A, draw a line segment going upwards and to the right, with a slope of 1/1. This represents the temperature increasing by 1º per hour for the next 6 hours.
8. At the end of this line segment (point B), mark the time as 2 p.m. and the temperature as 64ºF.
9. From point B, draw a horizontal line segment going to the right until 6 p.m. This represents the temperature staying steady at 64ºF for the next 4 hours.
10. Place a dot at the end of this line segment (point C) to represent 6 p.m.
11. From point C, draw a line segment going downwards and to the right, with a slope of -1/1. This represents the temperature decreasing by 1º per hour for the next 4 hours.
12. At the end of this line segment (point D), mark the time as 10 p.m. and the temperature as 60ºF.
13. From point D, draw a line segment going downwards until midnight. This represents the temperature dropping steadily until it reaches 59ºF at midnight.
14. Place a dot at the end of this line segment (point E) to represent midnight.
15. Connect all the marked points (0,50), (8,58), (14,64), (18,64), (22,60), and (24,59) on the graph to create a line graph that represents Josue's data.

Note: It's important to remember that this answer is a verbal description of the graph and not an actual visual representation.