People Window Help G centim Create S How d G slope y Lines: Answe G units Rat X c ment/showtest.php The graph below shows a linear relationship between x and y. Note that the axes are to scale. a. Determine the constam rate of change of y with respect to x. ang Preview b. Write a formula that expresses Ay in terms of Ax. (Hint: enter "Delta" for A.) Preview c. Suppose that y 2.5 when x = 1.5. Write a formula that expresses y in terms of x. Preview

People Window Help G centim Create S How d G slope y Lines: Answe G units Rat X c ment/showtest.php The graph below shows a linear relationship between x and y. Note that the axes are to scale. a. Determine the constam rate of change of y with respect to x. ang Preview b. Write a formula that expresses Ay in terms of Ax. (Hint: enter "Delta" for A.) Preview c. Suppose that y 2.5 when x = 1.5. Write a formula that expresses y in terms of x. Preview

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.3: Fitting Linear Models To Data

Problem 7SE: A regression was run to determine whether there is arelationship between the diameter of a tree (x,...

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Farms in the United States The graph gives the number of farms in the United States from 1850 to 2000. aEstimate the average rate of change in the number of farms between i 1860 and 1890 and ii 1950 and 1970. bIn which decade did the number of farms experience the greatest average rate of decline?
When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12
Run from Slope and Rise Suppose that f is a linear function with slope 3.4 and that f(1)6. What value of x gives f(x)=0?
A regression was run to determine whether there is arelationship between the diameter of a tree (x, in inches) and the tree’s age (y, in years). Theresults of the regression are given below. Use this topredict the age of a tree with diameter 10 inches. y=ax+ba=6.301b=1.044r=0.970
Use the data for males shown in the given bar graph to solve this exercise: a. Let x represent the number of birth years after 1960 and let y represent male life expectancy. Create a scatter plot that displays the data as a set of six points in a rectangular coordinate system. b. Draw a line through the two points that show male life expectancies for 1980 and 2000. Use the coordinates of these points to write a linear function that models life expectancy, E(x), for American men born x years after 1960. c. Use the function from part (b) to project the life expectancy of American men born in 2020.