Chapter 5 Writing Linear Equations - The Standard Form Of A Linear Equation Worksheet - Connie Gross Page 3
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GOAL
2
M
R
-L
S
ODELING A
EAL
IFE
ITUATION
Writing and Using a Linear Model
E X A M P L E 4
You are in charge of buying the hamburger and boned chicken for a
B
ARBECUE
barbecue. The hamburger costs $2 per pound and the boned chicken costs $3 per
pound. You have $30 to spend.
a.
Write an equation that models the different amounts of hamburger and
chicken that you can buy.
Make a table and a graph that illustrate several different amounts of
b.
hamburger and chicken that you can buy.
S
OLUTION
Model the possible combinations of hamburger and chicken.
a.
P
ROBLEM
Price
Weight
Price
Weight
V
ERBAL
Total
S
OLVING
M
of
of
of
of
ODEL
•
+
•
=
S
TRATEGY
cost
hamburger
hamburger
chicken
chicken
Price of hamburger = 2
(dollars per pound)
L
ABELS
Weight of hamburger =
x
(pounds)
Price of chicken = 3
(dollars per pound)
y
Weight of chicken =
(pounds)
Total cost = 30
(dollars)
2
x
+ 3
y
= 30
Linear model
A
LGEBRAIC
M
ODEL
F
OCUS ON
A
PPLICATIONS
b.
Use the algebraic model to make a table.
0
3
6
9
12
15
Hamburger (lb), x
10
8
6
4
2
0
Chicken (lb), y
The points corresponding to
Barbecue Planning
these different amounts are shown
y
in the graph. Note that as the
number of pounds of hamburger
8
you purchase increases, the
number of pounds of chicken
B
ARBECUE
4
you purchase decreases, and
The International
vice versa.
Bar-B-Que Festival in
0
Owensboro, Kentucky, uses
x
0
4
8
12
16
over 5000 chickens in its
Hamburger (lb)
annual cookout.
310
Chapter 5 Writing Linear Equations
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