Being able to work with and understand percentages and ratios is important in many different careers. Consider each of the following situations that require work with percentages or ratios. a. Some government funding is related to the number of people living in poverty in a particular area. The 2010 population of Caswell County, NC, was 23,719 and 21.7% of the people were living in poverty. (Source: quickfacts. census.gov/qfd/states/37/37033.html) How many people were living in poverty in Caswell County, NC, in 2010? b. Wisconsin farmers received an average price of $17.60 per 100 pounds for their milk in April 2012, down $1.60 from April 2011. By what percentage did the average price of milk decrease between April 2011 and April 2012? (Source: www.nass.usda.gov/Statistics_by_State/Wisconsin/Publications/Dairy/mkallpri.pdf) c. The Centers for Disease Control estimates that 1 in 6 people in the United States suffer food poisoning in any given year. At the beginning of 2012, the population of the United States was approximately 312,781,000 people. How many people would you expect to have suffered from food poisoning during 2012? (Sources: www.cdc.gov/foodborneburden/, www.commerce.gov/blog/2011/12/30/census-bureau- projects-us-population-3128-million-new-years-day-2012)
Being able to work with and understand percentages and ratios is important in many different careers. Consider each of the following situations that require work with percentages or ratios. a. Some government funding is related to the number of people living in poverty in a particular area. The 2010 population of Caswell County, NC, was 23,719 and 21.7% of the people were living in poverty. (Source: quickfacts. census.gov/qfd/states/37/37033.html) How many people were living in poverty in Caswell County, NC, in 2010? b. Wisconsin farmers received an average price of $17.60 per 100 pounds for their milk in April 2012, down $1.60 from April 2011. By what percentage did the average price of milk decrease between April 2011 and April 2012? (Source: www.nass.usda.gov/Statistics_by_State/Wisconsin/Publications/Dairy/mkallpri.pdf) c. The Centers for Disease Control estimates that 1 in 6 people in the United States suffer food poisoning in any given year. At the beginning of 2012, the population of the United States was approximately 312,781,000 people. How many people would you expect to have suffered from food poisoning during 2012? (Sources: www.cdc.gov/foodborneburden/, www.commerce.gov/blog/2011/12/30/census-bureau- projects-us-population-3128-million-new-years-day-2012)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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**Understanding Percentages and Ratios in Various Contexts**
Being proficient in working with percentages and ratios is crucial across many different careers. Consider the following real-world scenarios which require the use of percentages or ratios:
**a. Funding and Poverty Statistics**
- **Scenario**: Government funding is often connected to poverty statistics in a given area. In 2010, Caswell County, NC, had a population of 23,719, with 21.7% living in poverty.
- **Task**: Determine how many individuals were living in poverty in Caswell County in 2010.
- **Calculation**: Calculate 21.7% of 23,719.
**b. Dairy Farming Economics**
- **Scenario**: In April 2012, Wisconsin farmers sold milk at an average price of $17.60 per 100 pounds, a decrease from $19.20 in April 2011.
- **Task**: Calculate the percentage decrease in milk prices between April 2011 and April 2012.
- **Calculation**: Find the percentage decrease from $19.20 to $17.60.
**c. Health and Safety: Food Poisoning**
- **Scenario**: According to the Centers for Disease Control, 1 in 6 people in the U.S. suffer from food poisoning annually. With a population of approximately 312,781,000 in 2012:
- **Task**: Estimate the number of people affected by food poisoning in 2012.
- **Calculation**: Calculate how many out of 312,781,000 experienced food poisoning based on the 1 in 6 ratio.
**d. Genetic Diseases: Understanding Cystic Fibrosis**
- **Scenario**: Cystic Fibrosis (CF) affects many due to a defective gene. In 2012, approximately 12 million U.S. residents carried this gene, but did not have CF. Understanding that 1 out of every x people was a carrier:
- **Task**: Calculate the value of x given the U.S. population was nearly 312 million.
- **Calculation**: Determine the ratio of carriers to non-carriers.
These examples illustrate the practical application of percentages and ratios in addressing community needs, evaluating economic trends, addressing public health concerns, and understanding genetic conditions.
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