Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 14
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474 4
Real-Life Application
EXAMPLE
The number of pounds p of carbon dioxide produced by a car is 20 times
the number of gallons g of gasoline used by the car. Write and graph a
function that describes the relationship between g and p.
Write a function rule using the variables g and p.
The number of pounds is 20 times the number of gallons
Words
of carbon dioxide
of gasoline used.
⋅
= 20
p
g
Equation
Make an input-output table that represents the function p = 20g.
Input, g
20g
Output, p
Ordered Pair, (g, p)
20(1)
1
20
(1, 20)
20(2)
2
40
(2, 40)
20(3)
3
60
(3, 60)
p
Plot the ordered pairs and draw a line
70
60
through the points.
(3, 60)
50
40
Because you cannot have a negative
(2, 40)
30
number of gallons, use only positive
20
(1, 20)
values of g.
10
0
0
1
2
3
4
5 6
g
Gasoline (gallons)
WHAT IF?
8.
For a truck, p is 25 times g. Write and graph a function
that describes the relationship between g and p.
Exercise 26
Representations of Functions
An output is 2 more than the input.
Words
y = x + 2
Equation
Input-Output Table
Mapping Diagram
Graph
Input, x
Output, y
y
Input, x
Output, y
5
− 1
1
4
− 1
1
3
0
2
0
2
2
1
1
3
1
3
2
4
1
1
2
3
4
x
1
2
4
252
Chapter 6
Functions
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