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TEST YOUR UNDERSTADING FOR EXAMPLE 3.5
A donation to the university is required for the privilege of purchasing premium season football passes. The cost is a linear function of the number of season passes. It costs
EXAMPLE 3.5 CHANGING CELSIUS TO FAHRENHEIT
Temperature
Part 1 Use a formula to express
Part 2 At sea level, water boils at
Part 3 Explain in practical terms what the slope means in this setting.
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EBK FUNCTIONS AND CHANGE: A MODELING AP
- Immigration The following graph shows immigrationin thousand to the United States has varied over the past century. Source: Homeland Security. a. Find the average annual rate of change in immigration for the first half of the century from 1905 to 1955. b. Find the average annual rate of change in immigration for the second half of the century from 1955 to 2005. c. Find the average annual rate of change in immigration for the entire century from 1905 to 2005. d. Average your answers to part a and b, and compare the result with your answer from part c. Will these always be equal for any two time periods? e. If the annual average rate of change for entire century continues, predict the number of immigrants in 2009. Compare answer to the actual number of 1,130,818 immigrants.arrow_forwardSales Barnes & Noble had annual sales of $6.8 billion in 2013 and $6.1 billion in 2015. Use the Midpoint Formula to estimate the sales in 2014. Assume that the annual sales followed a linear pattern.arrow_forwardLIFE SCIENCE APPLICATIONS Gender Ratio The number of males per 100 females, age 65 or over, in the United States for some recent years is shown in the following table. Source: The U.S Census Bureau. Year Males per 100 Females 1960 82.8 1970 72.1 1980 67.6 1990 67.2 2000 70.0 2010 77.0 a. Plot the data, letting x be the years since 1900. b. Would a linear or quadratic function best model this data? Explain. c. If your graphing calculator has a quadratic regression feature, find the quadratic function that best fits the data. Graph this function on the same calculator window as the data. See Example 7c. d. Choose the lowest point in the table above as the vertex and 110,77.0 as a second point to find a quadratic function defined by f(x)=a(xh)2+k that models the data. e. Graph the function from part d on the same calculator window as the data and function from part c. Do the graphs of the two functions differ by much? f. Predict the number of males per 100 females in 2004 using the two functions from parts c and d, and compare with the actual figure of 71.7.arrow_forward
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