FARM POPULATION Consider the percent of the United States population which lived on farms during the years 1880-1990. Year Percent 1880 43.8% 1890 42.3% 1900 41.9% 1910 34.9% 1920 3.1% 1930 24.9% 1940 23.2% 1950 15.3% 1960 8.7% 1970 4.8% 1980 2.7% 1990 1.9% 1. Using technology, calculate the average rate of change per year. You may, for example, make a table in a spreadsheet with Year, Percent of Population, and Average Rate of Change, as three columns. What are the independent and independent variables? 2. Using technology, create a plot of Percentage vs Year. Does the data appear to be linear? Explain. 3. Using technology, construct a linear trendline and determine the R2 value. What is the trendline equation? What is the slope, including units? What is the R2 value? Is there a strong or weak correlation?
Unitary Method
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Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
FARM POPULATION
Consider the percent of the United States population which lived on farms during the years 1880-1990.
Year Percent
1880 43.8%
1890 42.3%
1900 41.9%
1910 34.9%
1920 3.1%
1930 24.9%
1940 23.2%
1950 15.3%
1960 8.7%
1970 4.8%
1980 2.7%
1990 1.9%
1. Using technology, calculate the average rate of change per year. You may, for example, make a table in a spreadsheet with Year, Percent of Population, and Average Rate of Change, as three columns. What are the independent and independent variables?
2. Using technology, create a plot of Percentage vs Year. Does the data appear to be linear? Explain.
3. Using technology, construct a linear trendline and determine the R2 value. What is the trendline equation? What is the slope, including units? What is the R2 value? Is there a strong or weak
4. Using the trendline formula, calculate algebraically the date when 100% of the population lived on a farm? Explain in the context of the problem.
5. Using the trendline formula, calculate algebraically the percent of the population you expect to be living on farms in the year 2000? Is this realistic? Explain in the context of the problem.
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