Problem

Darius conducted a survey of where the 8 th grade students wanted to go for the class trip. The results of what part of the class chose each location are listed in $t$ table below: Class Trip Survey \begin{tabular}{|c|c|} \hline Choice & $\begin{array}{c}\text { Part of the } \\ \text { Class }\end{array}$ \\ \hline $\begin{array}{c}\text { Dallas World } \\ \text { Aquarium }\end{array}$ & $\frac{1}{5}$ \\ \hline Urban Air & 0.3 \\ \hline Perot Museum & $\sqrt{0.02}$ \\ \hline Fort Worth Zoo & $37.5 \%$ \\ \hline \end{tabular} Which list shows their selections in order of most popular to least popular? Fort Worth Zoo, Urban Air, Dallas World Aquarium, Perot Museum Perot Museum, Urban Air, Dallas World Aquarium, Fort Worth Zoo Urban Air, Dallas World Aquarium, Fort Worth Zoo, Perot Museum Fort Worth Zoo, Dallas World Aquarium, Urban Air, Perot Museum

Solution

Step 1 :The question is asking to order the choices from most popular to least popular. This means we need to order the fractions from largest to smallest.

Step 2 :First, we need to convert all the fractions to the same format. We can convert all the fractions to decimals for easy comparison.

Step 3 :The fractions are \(\frac{1}{5}\), 0.3, \(\sqrt{0.02}\), and 37.5\%.

Step 4 :We can convert \(\frac{1}{5}\) to decimal by dividing 1 by 5.

Step 5 :We can convert \(\sqrt{0.02}\) to decimal by taking the square root of 0.02.

Step 6 :We can convert 37.5\% to decimal by dividing 37.5 by 100.

Step 7 :After converting all the fractions to decimals, we can compare them and order them from largest to smallest.

Step 8 :The decimal values for Dallas World Aquarium, Urban Air, Perot Museum, and Fort Worth Zoo are 0.2, 0.3, approximately 0.141, and 0.375 respectively.

Step 9 :Ordering these from largest to smallest gives: Fort Worth Zoo, Urban Air, Dallas World Aquarium, Perot Museum.

Step 10 :Final Answer: The list that shows their selections in order of most popular to least popular is \(\boxed{\text{Fort Worth Zoo, Urban Air, Dallas World Aquarium, Perot Museum}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/43637/

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