Chapter 7 7.1 Slope-Intercept Form Worksheet - Mhr Page 7
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17Did You Know?
Example 3
Model and Solve a Problem Using an Equation in
In 1998, the Canadian
Slope-Intercept Form
Armed Forces purchased
four submarines from
Submarines must withstand
Depth (m)
Pressure (kPa)
Britain. The submarines
tremendous pressure exerted
were named after
0
100
on all sides by the water. The
Canadian port cities.
table shows the linear
25
350
The Victoria is based at
relationship between pressure
Esquimalt, BC. It is part
50
600
of the Maritime Forces
and water depth.
75
850
Pacifi c fl eet.
Sketch a graph of the data.
a)
What is the slope of the line? What does it represent?
b)
Determine the value of the parameter b. What does this
parameter
c)
value represent?
a variable that has a
•
Write an equation that models the relationship between
constant value in a
d)
particular equation
pressure, P, in kilopascals, and water depth, d, in metres.
Express the equation in slope-intercept form.
The deepest point on Earth is Challenger Deep
e)
in the Mariana Trench. This trench is located
in the Pacifi c Ocean. In 1960, the research
submarine Trieste reached the bottom of
Challenger Deep. At this depth, the
walls protecting the two crew
members had to withstand a
pressure of 109 300 kPa. What
is the approximate depth of
Challenger Deep?
Solution
The independent variable
a)
is depth. The dependent variable is
pressure. Plot the coordinate pairs (0, 100),
(25, 350), (50, 600), and (75, 850). Both depth and pressure can
be any real number, so join the points with a straight line.
P
Pressure on a Submarine
1000
800
600
400
200
d
0
25
50
75
100
Water Depth (m)
346
MHR • Chapter 7
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