MTH 1825 sec. 006
Monday, Sept. 27, 2010
Page 1 of 5
Section 2.4 – Applications of Linear Equations and Modeling
Example 1:
(Similar to #7‐10 in section 2.4)
Rachel is a sales representative and earns a base salary of $2000 per month plus a 12%
commission on her sales for the month.
a.
Write a linear equation that expresses Rachel’s monthly salary
y
in terms of her
monthly sales
x
.
b.
Graph the equation.
c.
What is the y‐intercept and what does it represent in the context of this problem?
d.
What is the slope of the line and what does it represent in the context of this problem?
e.
How much will Rachel make (for the month) if her sales for the month are $25,000?
f.
If Rachel wants to make $4500 in a month, what do her sales have to be for the month?
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MTH 1825 sec. 006
Monday, Sept. 27, 2010
Page 2 of 5
Example 2:
(#14 in section 2.4)
Let y represent the average number of miles driven per year for passenger cars in the
United States since 1980. Let x represent the year where x=0 corresponds to 1980, x=1
corresponds to 1981, etc. The average yearly mileage for passenger cars can be
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 Fall '10
 Cioni
 Algebra, Equations

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