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Tailong Wang
Becky Maier
Candy Chen
Math Team Homework
Page 9 # 34 and 36
34) The table gives the average weight, w, in pounds, of American men in their sixties for
various heights, h, in inches.
(a) How do you know that the data in this table could represent a linear function?
A function is linear when its slope is consistent at every point.
Take two points from the table ( (68, 166) and (69, 171) ) and get the
slope.
171166
=
5
=
the slope is 5
6968
1
If you get the slope of another two points from the table and it is 5 then it
is very likely that the data from the table represents a linear function.
(71, 181) and (72, 186)
186181
=
5
= the slope is 5
72 71
1
Since both slopes equal 5, the data in the table could represent a linear
function.
(b) Find the weight, w, as a linear function of height, h.
What is the slope of the
line?
What are the units of the slope?
In order to find w(h) you plug the slope from (a) and a point (68, 166)
from the table in the equation y (y1)= m (x (x1)).
y 166= 5(x 68)
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 Fall '08
 BLAKELOCK
 Math

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