The table represents a bicycle rental cost in dollars as a function of time in hours.
Bicycle Rental
\begin{tabular}{|c|c|}
\hline $\begin{array}{c}\text { Time } \\
\text { (hours) }\end{array}$ & $\begin{array}{c}\text { Cost } \\
\text { (\$) }\end{array}$ \\
\hline 0 & 0 \\
\hline 2 & 10 \\
\hline 4 & 20 \\
\hline 6 & 30 \\
\hline 8 & 40 \\
\hline
\end{tabular}
Which explains whether or not the function represents a direct variation?
This function represents a direct variation because it passes through the origin and has a constant rate of change of $\$ 5$ per hour.
This function represents a direct variation because it has a positive, constant rate of change of $\$ 10$ per hour.
This function does not represent a direct variation because it does not represent the cost for 1 hour.
This function does not represent a direct variation because the function rule for the cost is to add $\$ 10$, not multiply by a constant.
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Answer
Final Answer: This function represents a direct variation because it passes through the origin and has a constant rate of change of \(\boxed{5}\) per hour.
Step 1 ：The question is asking whether the function represents a direct variation or not. A function represents a direct variation if it passes through the origin and has a constant rate of change.
Step 2 ：From the table, we can see that the function does pass through the origin (0,0) and the rate of change (slope) is constant.
Step 3 ：The slope can be calculated by taking the difference in y-values divided by the difference in x-values. In this case, the slope is \((10-0)/(2-0) = 5\).
Step 4 ：Therefore, the function represents a direct variation with a constant rate of change of $5 per hour.
Step 5 ：Final Answer: This function represents a direct variation because it passes through the origin and has a constant rate of change of \(\boxed{5}\) per hour.
