Systems Of Linear Equations Worksheets With Answer Key Page 32
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40Real-Life Application
2 2
EXAMPLE
Plant A grows 0.6 inch per
Plant A
Plant B
month. Plant B grows twice
as fast.
a. Use the model to write
an equation.
12 in.
b. After how many months
9 in.
x are the plants the
same height?
⋅
⋅
Growth
Months,
Original
Growth
Months,
Original
+
=
+
rate
x
height
rate
x
height
a. The equation is 0.6x + 12 = 1.2x + 9.
b. Write a system of linear equations using each side of the equation.
Then use a graphing calculator to graph the system.
0.6x + 12 = 1.2x + 9
Study Tip
= 0.6x + 12
= 1.2x + 9
y
y
One way to check your
answer is to solve the
20
0
equation algebraically
y
0.6x
12
as in Section 1.3.
0.6x + 12 = 1.2x + 9
12 = 0.6x + 9
y
1.2x
9
3 = 0.6x
5 = x
1
9
0
The solution of the system is (5, 15).
So, the plants are both 15 inches tall after 5 months.
Use a graph to solve the equation. Check your solution.
4
2
8. 6x − 2 = x + 11
x − 1 =
x + 6
10. 1.75x = 2.25x + 10.25
—
—
9.
3
3
WHAT IF?
In Example 2, the growth rate of Plant A is 0.5 inch per month. After how many
11.
months x are the plants the same height?
Extension 5.4
Solving Linear Equations by Graphing
231
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