Stephanie volunteered at the 5k being held at the park near her home. The chart below gives the number of hours Stephanie worked and the total number of runners that passed by her.

Question

Hours (h): 1 Runners (r): 150
Hours (h): 2 Runners (r): 300
Hours (h): 3 Runners (r): 450
Hours (h): 4 Runners (r): 600

Answer 1

From the data provided, we can summarize Stephanie's work at the 5k in terms of hours worked and the number of runners that passed by her.

Here's the chart you've provided:

| Hours (h) | Runners (r) | |-----------|-------------| | 1 | 150 | | 2 | 300 | | 3 | 450 | | 4 | 600 |

We can see that there is a consistent relationship between the hours Stephanie worked and the number of runners that passed by her. To represent this relationship mathematically, we can analyze the data:

1. Calculate the Rate of Runners per Hour:

   • For each hour, the number of runners is 150.
   • This means Stephanie sees 150 runners for every hour she volunteers.

2. Equation of the Relationship:

   • We can express the relationship as a linear equation: \[ r = 150h \] Where \( r \) is the number of runners and \( h \) is the number of hours worked.

3. Observations:

   • If Stephanie works for 0 hours, then \( r = 150 \times 0 = 0 \). This confirms that no runners would see her if she doesn't work.
   • If she works for 5 hours, you can predict the total number of runners as follows: \[ r = 150 \times 5 = 750 \]

This consistent pattern indicates that for every hour Stephanie volunteers, she sees an additional 150 runners passing by.