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. \begin{tabular}{|c|c|} \hline Hours (h) & Runners (r) \\ \hline 1 & 150 \\ \hline 2 & 300 \\ \hline 3 & 450 \\ \hline 4 & 600 \\

Question

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.

A. r=(h)/(150)
B. r=(150)/(h)
C. r=150+h
D. r=150h

Answer 1

To determine the relationship between the number of hours (\(h\)) Stephanie worked and the total number of runners (\(r\)) that passed her, we can analyze the data given in the table.

From the table:

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

It appears that the number of runners increases in direct proportion to the number of hours worked. Specifically, it seems that for every hour, Stephanie sees 150 more runners.

We can express this relationship with the following equation:

\[ r = 150h \]

Thus, the correct answer is:

D. \( r = 150h \)