# Mathematics - Algebra

Please see the attached file for the fully formatted problems.

40. A graph similar to the following one was depicted on a package of cigarettes in Canada.

[GRAPH]

a. Make a circle graph of the data.

b Explain which graph you think is more effective.

c. Explain whether you would like to see this labeling on cigarette packages in the United States.

Open-Ended

59. In 1991, students from countries around the world took the International Assessment of Educational Progress test. The following table gives the average mathematics scores for 15 countries, along with the number of days that students in each country spend in school each year.

(a) Make a conjecture about the relationship between the countrys' mathematics score and the number of days spent in school.

(b) Test your conjecture by using a box plot to compare sudents who spend 190 days or fewer in school with those who spend more than 190 days in school.

(c) Explain how your graph supports or disproves your conjecture

Country Days of School Math Score

Canada 188 62

France 174 64

Hungary 177 68

Ireland 173 61

Israel 21$ 63

Italy 204 64

Jordan 191 40

Fsorea 222 73

Seotland 191 61

Slovnia 190 57

Soviet Union 198 70

Spain 188 55

Switzerland 207 71

Taiwan 222 73

United States 178 55

(d) Draw a scatterplot for the data and see if there seems to be a correlation between mathematics scores and days in school. Is this the same message your box plot gave you? Which plot would you use to support your conjecture?

60. Use the data in the following table to compare the number of people living in the United States from 1810 through 1900 and the number living in the United States froni 1910 through 2000. Use any form of graphical representation to make the comparison and explain why you chose the representation that you did.

Number Number

Year (thousandsl Year (thousands)

1810 7.239 1910 92228

1820 9.638 1920 106.021

1830 12.866 1930 123202

1840 17.068 1940 132.164

1850 23.191 1950 151.325

1860 31.443 1960 179.323

1870 38.558 1970 203.302

1880 50.189 1980 226.542

1890 62.979 1990 248.765

1900 76.212 2000 281.422

#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached Excel file.