Chapter 7 7.1 Slope-Intercept Form Worksheet - Mhr Page 8
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17Determine the ratio of vertical change to horizontal change.
b)
_
Δy
m =
What values could you use to
Δx
calculate Δy and Δx?
_
250
m =
25
m = 10
The slope of the line is 10. This means that for every metre you
descend, the pressure increases by 10 kPa.
The parameter, b, represents the y-intercept, which is equal
c)
to 100. The air pressure is 100 kPa at the surface of the water,
where water depth is 0 m.
Substitute m = 10 and b = 100 into y = mx + b.
d)
y = 10x +
100
If P represents pressure and d represents depth, then the
equation of the line is P = 10d + 100.
Substitute 109 300 for P.
e)
P = 10d + 100
109 300
= 10d + 100
109 200 = 10d
10 920 = d
The approximate depth of Challenger Deep is 10 920 m.
Your Turn
Asha has selected a hotel for her wedding reception. The cost
involves a fee for the deluxe ballroom and a buffet charge
that depends on the number of guests. This is shown in the table.
Number of Guests
Cost ($)
0
425
25
1800
50
3175
100
5925
Sketch a graph of the data in the table.
a)
What are the slope and y-intercept of the line?
b)
What does each parameter represent?
Write an equation that describes the relationship between the
c)
cost and the number of guests. Express the equation in slope-
intercept form.
What is the cost for 140 guests?
d)
Asha would like the total cost to be no more than $15 000. What
e)
is the maximum number of guests that can attend?
347
7.1 Slope-Intercept Form • MHR
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