Let’s go over the questions on this worksheet.

Questions and Explanations:

1. Writing Ordered Pairs (Questions 6-8)
   You’ve identified ordered pairs from the graph:

   • $(2, 5)$: 2 miles corresponds to 5 laps.
   • $(4, 10)$: 4 miles corresponds to 10 laps.
   • $(6, 15)$: 6 miles corresponds to 15 laps.

   Each of these ordered pairs represents a proportional relationship between the distance in miles and the number of laps, showing a direct relationship.

2. Coordinate Meaning (Question 9)
   The coordinate $(0, 0)$ on the graph means that if Jamal runs 0 miles, he completes 0 laps. This is the origin point and represents no exercise done.

3. Unit Rate (Question 10)
   To find the unit rate, consider the relationship between miles and laps. From the ordered pairs, you can see that each mile corresponds to $\frac{5}{2}$ laps or 2.5 laps per mile. This ratio is consistent across each pair, confirming a unit rate of 2.5 laps per mile.

Would you like further details on any part of these explanations?

Related Questions to Explore:

1. How do you determine if a graph represents a proportional relationship?
2. What is the significance of the unit rate in real-life scenarios?
3. How would you calculate laps for a non-whole number of miles using this graph?
4. What does a positive linear relationship mean in a graph?
5. How would the graph change if the unit rate were 3 laps per mile?

Tip

When finding the unit rate from a graph, divide the y-value by the x-value for any ordered pair, as long as the relationship is proportional.