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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52e53656-f416-479e-93da-0d51dffd50d4%2Fcb579e12-70ad-4d2b-9b70-f1b811b2b43a%2Fuy63y2i_processed.png&w=3840&q=75)
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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