Modeling With Quadratic Functions Worksheet - Section 2.4 Page 8
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2
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5
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7
834.
THOUGHT PROVOKING
In Exercises 29–32, analyze the differences in the
Describe a real-life situation
outputs to determine whether the data are linear,
that can be modeled by a quadratic equation. Justify
quadratic, or neither. Explain. If linear or quadratic,
your answer.
write an equation that fi ts the data.
29.
35.
PROBLEM SOLVING
The table shows the heights y of
Price decrease
0
5
10
15
20
a competitive water-skier x seconds after jumping off
(dollars), x
a ramp. Write a function that models the height of the
Revenue
470
630
690
650
510
water-skier over time. When is the water-skier 5 feet
($1000s), y
above the water? How long is the skier in the air?
30.
Time (hours), x
0
1
2
3
4
Time (seconds), x
0
0.25 0.75
1
1.1
Height (feet), y
40
42
44
46
48
Height (feet), y
22
22.5 17.5
12
9.24
31.
Time (hours), x
1
2
3
4
5
36.
HOW DO YOU SEE IT?
Use the graph to determine
Population
2
4
8
16
32
whether the average rate of change over each interval
(hundreds), y
is positive, negative, or zero.
32.
Time (days), x
0
1
2
3
4
y
8
Height (feet), y
320
303
254
173
60
6
4
33.
PROBLEM SOLVING
The graph shows the number y of
students absent from school due to the fl u each day x.
Flu Epidemic
−2
2
4
6
x
y
(6, 19)
16
a. 0 ≤ x ≤ 2
b. 2 ≤ x ≤ 5
12
c. 2 ≤ x ≤ 4
d. 0 ≤ x ≤ 4
8
4
37.
REPEATED REASONING
The table shows the number
(0, 1)
of tiles in each fi gure. Verify that the data show a
0
0
2
4
6
8
10
12 x
quadratic relationship. Predict the number of tiles in
Days
the 12th fi gure.
a. Interpret the meaning of the vertex in this
situation.
b. Write an equation for the parabola to predict the
Figure 1
Figure 2
Figure 3
Figure 4
number of students absent on day 10.
c. Compare the average rates of change in the
Figure
1
2
3
4
students with the fl u from 0 to 6 days and
6 to 11 days.
Number of Tiles
1
5
11
19
Maintaining Mathematical Proficiency
Maintaining Mathematical Proficiency
Reviewing what you learned in previous grades and lessons
Factor the trinomial.
(Skills Review Handbook)
+ 4x + 3
− 3x + 2
− 15x + 12
+ 5x − 30
2
2
2
2
38.
39.
40.
41.
x
x
3x
5x
82
Chapter 2
Quadratic Functions
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