Question

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. Hours (h) Runners (r) 1 150 2 300 3 450 4 600 Based on the table, write an equation for the relationship between the number of hours Stephanie worked and the number of runners that passed her. (1 point) Responses r = h150 r = h150 r = 150h r = 150h r = 150 + h r = 150 + h r = 150h

Answer 1

To determine the correct equation that describes the relationship between the number of hours Stephanie worked (h) and the number of runners (r) that passed her, we can analyze the data provided in the chart.

From the data:

• For 1 hour (h = 1), 150 runners (r = 150)
• For 2 hours (h = 2), 300 runners (r = 300)
• For 3 hours (h = 3), 450 runners (r = 450)
• For 4 hours (h = 4), 600 runners (r = 600)

We can see that for each hour worked, 150 additional runners pass by. This indicates that the relationship is linear and can be expressed as:

\[ r = 150h \]

Thus, the correct response is:

r = 150h