The table below displays information from a recent year for an imaginary country, Republica, and the U.S.
Country Population Size Number of Eggs consumed Number of Cattle Area
United States 325 million 5.070 million 75.9 million 3.797 million
Republica 55 million 902 million 47.3 million 1.077 million
1a. In Republica and the United States, is the number of eggs consumed proportional to the population size? Show your calculations and then state whether or not the relationship is proportional.
1b. Based on your conclusion to question 1a, answer ONE of the following questions, not both.
If the number of eggs consumed is proportional to the population size, how many eggs would we expect a country of 86 million people to consume? Assume the country has similar eating habits? If the number of eggs consumed is NOT proportional to the population size, in which country can we conclude that eggs are a more popular food? Explain your conclusion in complete sentences.
2. . Complete the absolute and relative comparisons below. In the box below the question, show your supporting calculations and write your conclusion in a complete sentence.
2a. The population of the U.S. is how many people more than the population of Republica? Do not round.
2b. The population of the U.S. is what percentage more than the population of Republica? Round to 1 d.p.
2c. The population of Republica is how many times the size of the population of the U.S.? Round to 3 d.p,
2d. The population of Republica is what percentage of the population of the United States? Round to 1 d.p.
3. Republica and the U.S. are among the largest producers of cattle in the world. Using data from the table,
calculate the density of cattle (number of cattle per square mile) for each country. Use appropriate units!
3a. United States (round to whole number)
3b. Republica (round to whole number)
3c. Write a complete sentence that makes an absolute comparison of the density of cattle in the two
countries. You may choose the order of the comparison. You must include supporting calculations for the
number included in your sentence.
3d. Write a complete sentence that makes a relative comparison of the density of cattle in the two countries. You may choose the order of the comparison. You must include supporting calculations for the number included in your sentence.