On Tuesday the temperature changes -2 degrees F perhour from noon until10:00a.m. the next morning. The temperature at noon on Tuesday is 75 degrees F.
A) What is the Temperature at 4:00 p.m on Tuesday?
B)What is the temperature at 9:00 a.m. on Wednesday?
c)Plot the (time, temperature) data on a coordinate graph using noon Tuesday as time 0.
D) Describe the pattern of points. How does the pattern related to the rate of change in temperature?
A & B. Subtract 2 degres for each hour later than noon.
You will have to do the plotting on the graph. What type of pattern do you get?
I hope this helps. Thanks for asking.
A) To find the temperature at 4:00 p.m on Tuesday, we need to determine the number of hours between noon and 4:00 p.m. Since there are four hours in between, we can multiply the rate of change per hour (-2 degrees F) by the number of hours (4) and subtract it from the initial temperature of 75 degrees F.
Temperature at 4:00 p.m = 75 degrees F - (4 hours * 2 degrees F/hour)
Temperature at 4:00 p.m = 75 degrees F - 8 degrees F
Temperature at 4:00 p.m = 67 degrees F
Therefore, the temperature at 4:00 p.m on Tuesday is 67 degrees Fahrenheit.
B) To find the temperature at 9:00 a.m. on Wednesday, we need to determine the number of hours from noon on Tuesday until 9:00 a.m. on Wednesday. There are 21 hours between these two times. Again, we can calculate the temperature using the rate of change per hour (-2 degrees F) and subtract it from the initial temperature of 75 degrees F.
Temperature at 9:00 a.m. Wednesday = 75 degrees F - (21 hours * 2 degrees F/hour)
Temperature at 9:00 a.m. Wednesday = 75 degrees F - 42 degrees F
Temperature at 9:00 a.m. Wednesday = 33 degrees F
Therefore, the temperature at 9:00 a.m. on Wednesday is 33 degrees Fahrenheit.
C) To plot the (time, temperature) data on a coordinate graph, we can use the time in hours after noon on Tuesday as the x-coordinate and the corresponding temperature as the y-coordinate. Given that noon on Tuesday is time 0, we can create a table of values:
Time (hours) | Temperature (degrees F)
-----------------------------------
0 | 75
4 | 67
21 | 33
Using these values, we can plot the points (0, 75), (4, 67), and (21, 33) on a graph with time (hours) on the x-axis and temperature (degrees F) on the y-axis.
D) The pattern of points on the graph shows a linear relationship, with the temperature decreasing steadily over time. As the hours increase, the temperature decreases at a constant rate of -2 degrees F per hour. The points form a straight line with a negative slope, indicating a consistent and predictable change in temperature.