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Worksheet 5 1 On a set of axes show all points with an x-coordinate equal to - 2.

Worksheet 5 1 On a set of axes show all points with an x-coordinate equal to - 2.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Worksheet 5 1 On a set of axes show all points with an r-coordinate equal to -2. 2 A lawyer charges a €75 consultation fee and then €120 per hour thereafter. a Identify the dependent and independent variables. b Make a table of values for the cost €C of an appointment with the lawyer for time t hours where t = 0, 1, 2, 3, 4. c Is the relationship between C and t linear? d If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give a reason for your answer. e For every increase of 1 hour for t, what is the change in C? f For an appointment with the lawyer, what is: i the fixed cost ii the variable cost? 3 For the equation y = -2r+3: a Construct a table of values with r= -3, -2, -1, 0, 1, 2, 3. b Plot the graph. e Find: i the y-intercept ii the r-intercept. 4 Find, by inspection, the equation of the straight line passing through the points: エ1 0 1 2 3 4 3 1 -1 -2 5 State the gradients of the given lines: 6 Use the gradient formula to find the gradient of the straight line through the points A(-2, 3) and B(1, -4). 7 Write down the equation of the line with gradient 5 and y-intercept -2. 8 For the line with equation y = -x+2: a find the gradient and the y-intercept, and hence b sketch the graph. 9 Use axes intercepts to draw the graph of 2r-3y 6. 10 For the line alongside, find: a the gradient b the y-intercept c the equation of the line. (5, 2) (0,-3) 11 Determine whether the point (-2, 5) lies on the line with equation y = -2x + 1. 2
Transcribed Image Text:Worksheet 5 1 On a set of axes show all points with an r-coordinate equal to -2. 2 A lawyer charges a €75 consultation fee and then €120 per hour thereafter. a Identify the dependent and independent variables. b Make a table of values for the cost €C of an appointment with the lawyer for time t hours where t = 0, 1, 2, 3, 4. c Is the relationship between C and t linear? d If you graphed this relationship, is it sensible to join the points graphed with a straight line? Give a reason for your answer. e For every increase of 1 hour for t, what is the change in C? f For an appointment with the lawyer, what is: i the fixed cost ii the variable cost? 3 For the equation y = -2r+3: a Construct a table of values with r= -3, -2, -1, 0, 1, 2, 3. b Plot the graph. e Find: i the y-intercept ii the r-intercept. 4 Find, by inspection, the equation of the straight line passing through the points: エ1 0 1 2 3 4 3 1 -1 -2 5 State the gradients of the given lines: 6 Use the gradient formula to find the gradient of the straight line through the points A(-2, 3) and B(1, -4). 7 Write down the equation of the line with gradient 5 and y-intercept -2. 8 For the line with equation y = -x+2: a find the gradient and the y-intercept, and hence b sketch the graph. 9 Use axes intercepts to draw the graph of 2r-3y 6. 10 For the line alongside, find: a the gradient b the y-intercept c the equation of the line. (5, 2) (0,-3) 11 Determine whether the point (-2, 5) lies on the line with equation y = -2x + 1. 2
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