Math 100A
Modeling with Linear Functions I
Name:
1. (a) Could the table represent the values of a linear function? If so, give a formula.
x
y
−6
12
−3
8
0
4
3
0
6
−4
(b) Could the table represent the values of a linear function? If so, give a formula.
x
y
2
5
4
10
8
15
16
20
(c) Could the table represent the values of a linear function? If so, give a formula.
x
y
−2
3
0
2
4
0
10
−3
Math 100A
Modeling with Linear Functions I
2. The following table shows the readings given by an instrument for measuring weight when
various weights are placed on it.
w, weight (lbs)
I, reading
0.0
46.0
0.5
272.8
1.0
499.6
1.5
726.4
2.0
953.2
2.5
1180.0
(a) Is the reading, I, a linear function of the weight, w? If so, find a formula for it.
(b) Give possible interpretations for the slope and vertical intercept in your formula from part
(a). [Hint: 1 lb = 453.6 g.]
3. Suppose you’re making a 30-mile trek through the wilderness. You can canoe at 7 mph and
walk at 4 mph.
(a) Write a constraint equation.
(b) Find two solutions.
(c) Sketch a graph of the equation and mark your solutions.
4
3
2
1
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
-1
-2
-3
-4
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