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

1 answer

The relationship between the number of hours Stephanie worked (h) and the total number of runners that passed by her (r) can be established by observing that for every hour she worked, 150 runners passed by her. This indicates a direct proportional relationship.

From the data given in the chart:

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

This shows that the number of runners is 150 times the number of hours. Therefore, the correct equation for this relationship is:

r = 150h

So the answer is:

r = 150h