Worksheet 51 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 fortime 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 astraight 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 costii 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-interceptii the r-intercept.4 Find, by inspection, the equation of thestraight line passing through the points:エ1 0123431-1-25 State the gradients of the given lines:6 Use the gradient formula to find the gradient of the straight line through the pointsA(-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 henceb sketch the graph.9 Use axes intercepts to draw the graph of 2r-3y 6.10 For the line alongside, find:a the gradientb the y-interceptc 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

Concept Used: Basic mathematics (Note: We are not allowed to answer more than 1 independent…

Answered: Worksheet 5 1 On a set of axes show all…

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Geometry

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

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CR: Review Problem Set

Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...

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Question

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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