# Lesson 15: Equations of Graphs of Proportional Relationships Involving Fractions

Essential Question: Can we use equations and graphs to represent proportional relationships arising from ratios and rates
involving fractions?

7.RP.2c, 7.RP.2d, 7.RP.3

Warm up

S.61 Example 1: Mothers 10K Race

Sam’s mother has entered a 10 K race. Sam and his family want to show their support of their mother but they need to
figure out where they should go along the race course. They also need to determine how long it will take her to run the
race so that they will know when to meet her at the finish line. Previously, his mother ran a 5K race with a time of 1 1⁄2
hours. Assume Sam’s mother ran the same rate as the previous race in order to complete the chart.

Discuss with your partner: Can you find Sam’s mother’s average rate for the entire race based on her
previous race time?

Lesson

S.61 Example 1: Continued

Discussion

Write the equation that models the data in the chart

S.62 Example 2: Organic Cooking (Group Work)

Summary

Problems

S.63-64

Exit