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) 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 = 150h
r = 150h

r = h150
r = h150

r = 150 + h
r = 150 + h

r = 150h

Answer 1

The data shows a linear relationship between the number of hours Stephanie worked and the number of runners that passed by her. To express this relationship mathematically, we can observe the pattern in the table:

• For every hour (h) that Stephanie works, 150 runners (r) pass by her.

From the given data, we can conclude that:

• When h = 1, r = 150
• When h = 2, r = 300
• When h = 3, r = 450
• When h = 4, r = 600

From this, we can derive the equation that represents this relationship:

$$r=150h$$

So, the correct response is:

r = 150h