y = mx + b.
At the end of 12 years, the sale will be $228,000.
2-4 Writing Linear Equations
28. DELI The sales of a sandwich store increased from
29. WHALES In 2009, it was estimated that there were
$52,000 to $116,000 during the first five years of
300 northern right whales in existence. The
business. Write an equation that models the sales y
population of northern right whales is expected to
after x years. Determine what the sales will be at the
decline by at least 25 whales each generation. Write
end of 12 years if the pattern continues.
an equation that represents the number of right
whales that will be in existence in x generations.
SOLUTION:
SOLUTION:
The two ordered pairs which represent the year and
their sale are (1, 52000) and (5, 116000).
Let y be the number of right whales
.
The slope is –25.
and
Substitute
in the slope formula
The equation to find the number of right whales that
will be in existence in x generations is y = –25x +300.
.
Write an equation in slope-intercept form for
each graph.
Substitute m = 16,000 and
in the
point slope form
.
30.
SOLUTION:
The line passes through the points (0, 12) and (6, 2).
and
in
Substitute
Add 52,000 to each side.
the slope formula
.
Substitute x = 12 in the equation
.
At the end of 12 years, the sale will be $228,000.
Substitute m =
and
in the point-
slope form
29. WHALES In 2009, it was estimated that there were
300 northern right whales in existence. The
.
population of northern right whales is expected to
decline by at least 25 whales each generation. Write
an equation that represents the number of right
whales that will be in existence in x generations.
SOLUTION:
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Let y be the number of right whales
.
Add 12 to each side.