Elena and Lin are training for a race. Elena runs her mile at a constant speed of 7.5 miles per hour.

Lin’s total distance is recorded every minute:

1. Who finished their mile first?

2. This is a graph of Lin’s progress. Draw a graph to represent Elena’s mile on the same axes.

   

   Scatterplot, horizontal, time in minutes, 0 to 12, vertical, distance in miles, 0 to 2. Points 1 comma 0 point 11, 2 comma 0 point 2 1, 3 comma 0 point 3 2, 4 comma 0 point 4 1, 5 comma 0 point 5 3, 6 comma 0 point 6 2, 7 comma 0 point 7 3, 8 comma 0 point 8 5, 9 comma 1.

3. For these models, is distance a function of time? Is time a function of distance? Explain how you know.

Match each function rule with the value that could not be a possible input for that function.

Find a value of that makes the equation true. Explain your reasoning, and check that your answer is correct.