Study Guide and Review - Chapter 4
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1 State whether each sentence is or false. If false, replace the underlined term to make a sentence. 1. The y-intercept is the y-coordinate of the point where the graph crosses the y-axis. 2. The process of using a linear equation to make predictions about values that are beyond the range of the data is called linear regression. false, linear extrapolation 9. An equation of the form y = mx + b is in point-slope form. false, slope-intercept form Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation. 10. slope: 3, y-intercept: 5 y = 3x An inverse relation is the set of ordered pairs obtained by exchanging the x-coordinates with the y- coordinates of each ordered pair of a relation. 4. The correlation coefficient describes whether the correlation between the variables is positive or negative and how closely the regression equation is modeling the data. 11. slope: 2, y-intercept: 9 y = 2x 9 5. Lines in the same plane that do not intersect are called parallel lines. 6. Lines that intersect at acute angles are called perpendicular lines. false, right 7. A(n) constant function can generate ordered pairs for an inverse relation. false, inverse function 8. The range of a relation is the range of its inverse function. false, domain esolutions Manual - Powered by Cognero Page 1
2 12. slope:, y-intercept: y = 3x + 5 y = x slope:, y-intercept: 2 y = x x + 4y = 8 Graph each equation. 14. y = 4x SKI RENTAL Write an equation in slope-intercept form for the total cost of skiing for h hours with one lift ticket. y = 5h + 15 esolutions Manual - Powered by Cognero Page 2
3 Write an equation of the line that passes through the given point and has the given slope. 19. (1, 2), slope 3 y = 3x (2, 6), slope 4 y = 4x ( 3, 1), slope 27. CAMP In 2005, a camp had 450 campers. Five years later, the number of campers rose to 750. Write a linear equation that represents the number of campers that attend camp. y = 60x Write an equation in point-slope form for the line that passes through the given point with the slope provided. 28. (6, 3), slope 5 y 3 = 5(x 6) 29. ( 2, 1), slope 3 y 1 = 3(x + 2) 22. (5, 2), slope Write an equation of the line that passes through the given points. 23. (2, 1), (5, 2) y = x ( 4, 3), (1, 13) y = 2x (3, 5), (5, 6) 30. ( 4, 2), slope 0 y 2 = 0 Write each equation in standard form. 31. y 3 = 5(x 2) 5x y = y 7 = 3(x + 1) 3x + y = y + 4 = (x 3) x 2y = y 9 = (x + 2) 26. (2, 4), (7, 2) 4x + 5y = 37 esolutions Manual - Powered by Cognero Page 3
4 Write each equation in slope-intercept form. 35. y 2 = 3(x 5) y = 3x y 12 = 2(x 3) y = 2x y + 3 = 5(x + 1) y = 5x + 2 Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. 43. (2, 4), y = 3x (1, 3), y = 2x y 4 = (x + 2) y = x + 5 Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of each equation. 39. (2, 5), y = x 3 y = x (0, 3), y = 3x ( 5, 2), y = x + 4 y = 3x (3, 0), y = x y = 2x Determine whether the graph shows a positive, a negative, or no correlation. If there is a positive or negative correlation, describe its meaning. y = 3x ( 4, 1), y = 2x 6 y = 2x ( 5, 2), y = x + 4 Positive; as the number of hours spent studying increases, the test scores increase. esolutions Manual - Powered by Cognero Page 4
5 48. ATTENDANCE A scatter plot of data compares the number of years since a business has opened and its annual number of sales. It contains the ordered pairs (2, 650) and (5, 1280). Write an equation in slope-intercept form for the line of fit for this situation. y = 210x SALE The table shows the number of purchases made at an outerwear store during a sale. Write an equation of the regression line. Then estimate the number of sales on day 10 of the sale. 53. {(2.7, 4), (3.8, 1), (4.1, 0), (7.2, 3)} y = 5.36x + 11; MOVIES The table shows ticket sales at a certain theater during the first week after a movie opened. Write an equation of the regression line. Then estimate the daily ticket sales on the 15th day {(4, 12), (0, 8), ( 4, 4), ( 8, 0)} Find the inverse of each function y = 5.79x ; $12.29 Find the inverse of each relation. 51. {(7, 3.5), (6.2, 8), ( 4, 2.7), ( 12, 1.4)} {(3.5, 7), (8, 6.2), (2.7, 4), (1.4, 12)} 56. f (x) = 3x {(1, 9), (13, 26), ( 3, 4), ( 11, 2)} {(9, 1), (26, 13), (4, 3), ( 2, 11)} 58. esolutions Manual - Powered by Cognero Page 5
6 esolutions Manual - Powered by Cognero Page 6
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The verbal answers to all of the following questions should be memorized before completion of algebra. Answers that are not memorized will hinder your ability to succeed in geometry and algebra. (Everything
Florida Math for College Readiness
Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness