Joy and Enzo have finished an experiment in which they measure the temperature of melting slush. But they have graphed their data on the wrong axes. They have to "flip" the variables to make a corrected graph, which is the same thing you do when finding the inverse of a function. Now they need to decide if the corrected graph represents a function. Complete the table to summarize what you know about each student's idea. (2 points: 1 point for each row of the chart) Analyze the conjecture: 1. What do you think? Can the corrected graph represent a function, even if the original graph does not represent a function? (1 point) Analyze the Data: Here is Joy and Enzo's data, and the original graph of melting slush. The x-axis is the temperature in degrees Celsius, and the y-axis is the time in minutes. Temp. (°C) 2 2 10 14 18 20 21 22 23 24 Time (minutes) 0 10 20 30 40 50 60 70 80 90 2. Does the original graph represent a function? Use the vertical line test to decide. (1 point) 3. Will the corrected graph represent a function? Use the horizontal line test to decide. (2 points) Now, think about the original graph and the corrected graph as the graphs of a function and its inverse. Below is a mapping diagram for some of the coordinates on the original graph and the graph of its inverse. 4. Based on this mapping diagram, does the inverse graph represent a function? Why or why not? (2 points) 5. Using the coordinates of points on the original graph, explain how to find the coordinates of points on the inverse graph and give an example. (2 points) 6. To graph time on the x-axis and temperature on the y-axis, plot the points of the inverse graph on the following grid. Label the x- and y-axes. (4 points) 7. If you were to reflect this graph over the line y = x, what would the resulting graph look like? (1 point) Making a Decision: 8. Who was correct? Does the inverse graph represent a function? (1 point) 9. Is the temperature of melting slush a function of the time in minutes? (Explain your answer.) (2 points) 10. Hypothesize why the temperature of the slush didn't change in the first 10 minutes. Why do you think the slush stayed at 2° C? (1 point) Further Investigation: Joy and Enzo do some checking on the Internet and find one website that says the slush should melt according to this formula: where m = minutes and t = temperature in degrees Celsius. Here is a graph of the function. 11. Compare this function to Joy and Enzo's corrected graph. Do Joy and Enzo's data look like the suggested function for melting slush? (1 point) HELP PLEASE THIS IS DUE TODAY PLSPLSPLESAS