12.
(1 pt) The table below gives the number of calories
burned per minute for someone rollerblading, as a function of
the person’s weight in pounds and speed in miles per hour [from
the August 28,1994, issue of
Parade Magazine
].
calories burned per minute
weight
\
speed
8
9
10
11
120
4.2
5.8
7.4
8.9
(1 pt) Let
f
be the linear function
f
(
x
,
y
) =
c
+
mx
+
ny
,
where
c
,
m
,
n
are constants and
n
6
=
0.
Note:
For all parts of this problem, your answers must be in ex
panded form–that is, may not contain any parentheses–and may
involve the constants c
,
m
,
n and k.
(a)
Find and expand the equation of the contour that goes
through the value
f
(
x
,
y
) =
k
.
200
7.9
9.5
11.1
12.6
(a)
Suppose that a 140 lb person and a 180 person both go 10
miles, the first at 11 mph and the second at 10 mph.
How many calories does the 140 lb person burn?
How many calories does the 180 lb person burn?
(b)
We might also be interested in the number of calories
each person burns per pound of their weight.
How many calories per pound does the 140 lb person burn?
How many calories per pound does the 180 lb person burn?
13.
(1 pt) Find a possible equation for the linear function
g
(
x
,
y
)
shown in the graph below:
g
(
x
,
y
) =
14.
(1 pt) Find the equation for a linear function
f
(
x
,
y
)
with
the values given in the table below:
x
\
y

1
0
1
2
0
3.5
2
0.5
1
15.
(1 pt) Let
f
be the linear function
f
(
x
,
y
) =
c
+
mx
+
ny
,
where
c
,
m
,
n
are constants and
n
6
=
0.
Note:
For all parts of this problem, your answers must be in ex
panded form–that is, may not contain any parentheses–and may
involve the constants c
,
m
,
n and k.
(a)
Find and expand the equation of the contour that goes
through the value
f
(
x
,
y
) =
k
.
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