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An urban planner collects data on how park trails are used by residents. The planner looks at two trails: one that winds through an urban area and another in a suburban park. The table shows the number of users who walk, jog, or bike the trail.

\begin{tabular}{|c|l|c|c|c|c|}
\hline
\multicolumn{2}{|c|}{} & \multicolumn{3}{|c|}{ Activity } & \\
\cline { 3 - 6 }
\multicolumn{2}{|c|}{} & Walk & Jog & Bike & Total \\
\hline
\multirow{3}{}{ Type of Park } & Urban & 76 & 58 & 23 & 157 \\
\cline { 2 - 6 }
& Suburban & 125 & 76 & 42 & 243 \\
\hline
\multirow{2}{}{} & Total & 201 & 134 & 65 & 400 \\
\hline
\end{tabular}

What proportion of suburban park users bike on the park trail?

A. 0.1050
B. 0.1728
C. 0.6075
D. 0.6461



Answer :

GinnyAnswer
To solve for the proportion of suburban park users who bike on the park trail, we follow these steps:

1. Identify the total number of users in the suburban park:
According to the data provided, the total number of users in the suburban park is 243.

2. Identify the number of users in the suburban park who bike:
From the table, the number of suburban park users who bike is 42.

3. Calculate the proportion of suburban park users who bike:
To find this proportion, divide the number of suburban park users who bike by the total number of users in the suburban park.

[tex]\[ \text{Proportion of suburban park users who bike} = \frac{\text{Number of suburban bikers}}{\text{Total number of suburban users}} = \frac{42}{243} \][/tex]

4. Simplify the fraction:
When you perform the division:

[tex]\[ \frac{42}{243} \approx 0.1728 \][/tex]

Thus, the proportion of suburban park users who bike on the trail is approximately 0.1728.

Given the multiple-choice options, the correct answer is:
[tex]\[ \boxed{0.1728} \][/tex]

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