Chapter 7 7.1 Slope-Intercept Form Worksheet - Mhr Page 15
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17A group of students tested how
15.
different masses changed the
lengths of two different coil
mass
springs. The results of their
experiments
are summarized in the table.
mass
Spring 1
Spring 2
Spring 1
Spring 2
Mass
Length
Length
(g)
(cm)
(cm)
0
8
24
4
14
18
8
20
12
12
26
6
For each spring, write an equation to model how spring
a)
length, L, in centimetres, changes with mass, x, in grams.
Express each equation in slope-intercept form.
What does a negative slope represent in the experiment?
b)
About 12 000 years ago
16.
Did You Know?
during the last glacial
Many animals that
period, giant bison roamed
roamed Earth at the
the plains of North
time of the last glacial
America. Using fossil
period are now extinct.
bones, paleontologists
These include the sabre-
can estimate the size of
toothed cat, mammoth,
these huge animals. The
mastodon, and giant
beaver, bison, and bear.
equation y = 2.4x - 7.9
Other animals that
approximates the
roamed the area that is
relationship between an
Painting of giant bison by Ludo Beogaet
now known as western
adult male bison’s front
Canada during this time
limb length, y, in centimetres, and the length of its humerus
include the horse, camel,
antelope, and ground
bone, x, in centimetres.
sloth.
Sketch a graph of the equation y = 2.4x - 7.9.
a)
Use graphing technology to check your graph. Then,
b)
estimate, to the nearest centimetre, the front limb length
of each bison:
an extinct giant bison with a fossil humerus bone length
•
of 40.2 cm
a modern North American bison with a humerus bone
•
length of 32.6 cm
By what percent was the giant bison taller than the modern
c)
bison?
354
MHR • Chapter 7
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