Question

In Coach McDonald's P.E. class, students had to run as far as they could in a portion of the class period. The results are shown in the table. To create the line plot, you will use the values from the table. Each X on the plot represents one student. The number line shows the distance students ran in miles. The table shows: 4 students ran \(\frac{1}{4}\) of a mile.5 students ran \(\frac{1}{2}\) of a mile.2 students ran \(\frac{3}{4}\) of a mile.5 students ran 1 mile. 

Answer 1

To create a line plot based on the data provided for Coach McDonald’s P.E. class, we will represent the distances each student ran on a number line. Each "X" will represent one student.

Here is how to plot the data:

1. Prepare the Number Line: The distances you will need to represent on the number line are \(\frac{1}{4}\), \(\frac{1}{2}\), \(\frac{3}{4}\), and \(1\) mile.

2. Count the Students for Each Distance:

   • \(\frac{1}{4}\) mile: 4 students
   • \(\frac{1}{2}\) mile: 5 students
   • \(\frac{3}{4}\) mile: 2 students
   • \(1\) mile: 5 students

3. Plotting the X's:

   • For \(\frac{1}{4}\) mile, you will place 4 X's:
     • \( \frac{1}{4} : \text{mile}: : X X X X \)
   • For \(\frac{1}{2}\) mile, you will place 5 X's:
     • \( \frac{1}{2} : \text{mile}: : X X X X X \)
   • For \(\frac{3}{4}\) mile, you will place 2 X's:
     • \( \frac{3}{4} : \text{mile}: : X X \)
   • For \(1\) mile, you will place 5 X's:
     • \(1 : \text{mile}: : X X X X X \)

Now here is a visual representation of the line plot:

Distance (miles)       Line Plot
------------------     --------------
0                     |
\frac{1}{4}          | X X X X
\frac{1}{2}          | X X X X X
\frac{3}{4}          | X X
1                     | X X X X X

In the plot, all X's correspond to the number of students running that distance, giving an overview of how far students ran during the class.