Writing Linear Equations Worksheet With Answer Key Page 9
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222-4 Writing Linear Equations
27. FINANCIAL LITERACY Julio buys a used car
25. passes through (12, 0), parallel to
for $5900. Monthly expenses for the car—which
include insurance, maintenance, and gas—total $180
SOLUTION:
per month. Write an equation that represents the total
cost of buying and owning the car for x months.
The slope of the line
is
. The slope
SOLUTION:
Let y be the total cost of buying and owning the car.
of the line parallel to the given line is
.
Substitute m = 180 and b = 5900 in the equation
Substitute m =
and
in the point
y = mx + b.
slope form
.
28. DELI The sales of a sandwich store increased from
$52,000 to $116,000 during the first five years of
business. Write an equation that models the sales y
after x years. Determine what the sales will be at the
end of 12 years if the pattern continues.
SOLUTION:
26. passes through (10, 2), perpendicular to y = 4x + 6
The two ordered pairs which represent the year and
SOLUTION:
their sale are (1, 52000) and (5, 116000).
The slope of the line y = 4x + 6 is 4. The slope of the
and
Substitute
line perpendicular to the given line is
.
in the slope formula
Substitute m =
and
in the point
slope form
.
.
Substitute m = 16,000 and
in the
point slope form
.
27. FINANCIAL LITERACY Julio buys a used car
for $5900. Monthly expenses for the car—which
Add 52,000 to each side.
include insurance, maintenance, and gas—total $180
per month. Write an equation that represents the total
cost of buying and owning the car for x months.
SOLUTION:
Substitute x = 12 in the equation
Let y be the total cost of buying and owning the car.
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Page 9
Substitute m = 180 and b = 5900 in the equation
.
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