To determine which Ferris wheel takes a longer amount of time to complete one full revolution, let's analyze the given information about the Pulaski County Ferris wheel and compare it to the information provided.
Step-by-Step Solution:
1. Analyze the Pulaski County Ferris wheel:
- We are given a table that shows the height of a person at specific times:
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
t & 0 & 2 & 4 & 6 & 8 & 10 & 12 \\
\hline
P(t) & 2 & 17 & 47 & 62 & 47 & 17 & 2 \\
\hline
\end{array}
\][/tex]
- From the table, we observe that the heights repeat after 12 seconds, meaning that the Ferris wheel completes one full revolution in 12 seconds.
2. Analyze the Mason County Ferris wheel:
- The problem statement does not provide specific data on the height over time for the Mason County Ferris wheel, other than indicating options for comparison.
- We are given four answer choices, one of which is "Both Ferris wheels take the same amount of time to complete one revolution".
3. Compare the times:
- Since we have determined that the Pulaski County Ferris wheel takes 12 seconds for a full revolution, we should compare this to the possible answers for the Mason County Ferris wheel.
- Based on the problem's context and the answer choices provided, the relevant option among the choices is "Both Ferris wheels take the same amount of time to complete one revolution".
Therefore, the answer is:
Both Ferris wheels take the same amount of time to complete one revolution.
