2.1+Comparing+Leisure+Activities+0910

9.11.09 A.B



**The Big Idea** Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.


 * Problem 2.1:

Comparing Leisure Activities
a. Why don’t the numbers in the column add to the given total?**

ans. The numbers don’t add to the given totals because one person can choose more than one activity.


 * b. Write three statements that use percents make comparison about the numbers of male and female participants in the various activities. Explain how you found the percents.**

ans. Three statements that use percents to make comparison about the number of female and male participants in various activities are: 1.	21% of the males in total go bicycle riding, while only 19% of females go bicycle riding. 2.	Only 16% of the females go camping, but 20% of the males go camping 3.	While only 18% of the males exercise walk, 36% of the females exercise walk.

ans. Three statements that use percents to make comparisons about the number of teenage and older-adult participants in the various activities are:
 * c.	Write three statements that use percents to make comparisons about the numbers of teenage and older-adult participants in the various activities.**

1.	While 41% of the people in the age group of 12-17 go bicycle riding, only 9% of the people from the age group of 55-64 go bicycle riding 2.	51% of the people in the age group of 12-17 go swimming, but only 13% of the people in the age group of 55-64 go swimming. 3.	Only 13% of the people in the age group of 12-17 exercise walk, but 37% of the people in the age group of 55-64 exercise walk

ans. Three statements that make comparison with using percents are: 1.	Males prefer bicycle riding to females, by a ratio of 24,562,000 to 23,357,000. 2.	People from the age group of 12-17 outnumber those in the age group of 55-64, in fishing by 2,981,000. 3.	Males who prefer swimming outnumber those whop prefer it, in the age group of 55-64 by 24,956,000
 * d.	Write three statements that make comparisons about the data without using percents.**


 * Problem 2.1 follow up:**

1. **Explain how you might decide when percents would be a good way to make comparison and when other forms of comparison would be better.** ans. Percent would be a good way to compare when we are comparing a number with a 100. Ratios would be a good way to compare when using measurements and units. Fractions would be a good way to compare when we are comparing to numbers.

2. **Can you compare the participation of teenage boys in these activities to participation of older-adult women by using data in the table? Explain.** ans. No, we cannot compare the teenage boys to the older-adult women. This is because the data in the table does not tell us how many teenage boys or older-adult women participate in these activities.