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```Name: Date: Lesson 6.2 Representing Functions
Write a verbal description of each function. Then write an algebraic
equation for the function.
1.
Laura can type 75 words per minute on a computer keyboard.
The number of words she can type, N, is a function of the amount of time,
t minutes, she spends at the computer keyboard.
2.When Melissa goes on vocation, she boards her dog at a kennel. The kennel
charges a flat fee of \$50 and a daily rate of \$10. The total amount Melissa pays
for her dog to stay at the kennel, y dollars, is a function of the number of days
that she boards the dog, d.
Write an algebraic equation for each function. Then construct a table of x and y values for the function.
© Marshall Cavendish International (Singapore) Private Limited.
3.
Maria and her friends are making beaded bracelets to raise funds for their
needed, y, is a function of the number of bracelets they make, x.
4.
A tank contains 72 gallons of water. A pump rated at 5 gallons per minute, is
used to transfer water from the tank to a mixing vessel. The amount of water in
the tank, A, is a function of the amount of time the pump is in use, t minutes.
Extra Practice Course 3A 107
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Name: Date: Each of the following graphs represents a function. Write an algebraic equation to represent the function.
y
5.
y
6.
3
4
2
3
1
2
2 1 0
1
x
1
0
1
2
3
4
x
Use the table of values to plot a graph to represent the function.
7. The table shows the number of hanging brackets, y, needed to hang x
paintings in an art gallery. Use 1 unit on the horizontal axis to
represent 1 painting for the x interval and 1 unit on the vertical axis to
represent 3 brackets for the y interval.
Number of Paintings (x)
0
2
5
8
Number of Brackets (y)
3
9
18
27
y
Number of Brackets
© Marshall Cavendish International (Singapore) Private Limited.
Painting Hardware Needed
x
Number of Paintings
108 Chapter 6 Lesson 6.2
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Name: Date: Use the table of values to plot a graph to represent the function. Then
write an algebraic equation for the function.
8.
A dancing studio charges a \$35 registration fee for class enrollment plus a
per class fee. The dance class Marissa plans to take is \$70 per hour. The table
shows the total cost, y dollars, as a function of the number of class hours, x.
Use 1 unit on the horizontal axis to represent 1 hour for the x interval and
1 unit on the vertical axis to represent \$35 for the y interval.
Number of Class
Hours (x)
0
1
2
3
4
5
6
Total Cost (y dollars)
35
105
175
245
315
385
455
Dance Class Cost
© Marshall Cavendish International (Singapore) Private Limited.
Total Cost (\$)
y
x
Number of Class Hours (h)
Extra Practice Course 3A 109
(M)MIFEPC3A_06.indd 109
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Name: Date: Solve. Show your work.
9.
The graph shows the number of sheets of paper, y, remaining in the input
paper tray of a photocopy machine as a function of the time the machine is
operational, x minutes.
Number of Sheets
of Paper
y
Printing of Papers
per Minute
360
270
180
90
0
1
2
3
x
a) Write an equation in slope-intercept form to represent the function.
b)What information do the values for slope and y-intercept give you about
the function?
10.
Jason had a prepaid movie card with a value of \$45. Every time he watches
a movie, \$7.50 is deducted from the value of his card. The amount of money
remaining on his card, y dollars, is a function of the number of movies he watches, x.
a)Write a verbal description of the function and then write an algebraic
equation for the function.
b)Construct a table of x and y values for the function in a). Use values
of x from 0 to 6.
© Marshall Cavendish International (Singapore) Private Limited.
Time (min)
110 Chapter 6 Lesson 6.2
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Name: Date: c)
Use the table of values in b) to plot a graph to represent the function. Use 1 unit on the
horizontal axis to represent 1 movie watched for the x interval from 0 to 6 and 1 unit on the
vertical axis to represent \$5 for the y interval from 0 to 50.
y
Card Value (\$)
Stored Card Value
x
Number of Movies
© Marshall Cavendish International (Singapore) Private Limited.
Extra Practice Course 3A 111
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```
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