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Worksheet
for 5.3:Quadratic
Name:
Regression
_
Date:
Determine whether
the following are linear or quadratic then write the appropriate
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x
I
y
-2 2
-1 -3
0 -2
1 5
2 18
1>">
">t
'"?
Per:
x
3.¥~~iC
4-~
equation.
.....
~-:.-:l-~
~-)( \-3
I Y
x
x
y
0 3
[) <3
1 0
2 -7 ':>3 -18 ) -\
4 -33 "'> -I
.,
0 41 6 "')
2 8
3 10
4 12
Y
-2 1
1>1
-1 2 '>3)
0 5
1 10 1)5
2 17 7"';f
The table below shows the distance a car travels from the time the driver decides to stop to the
time the car comes to a complete stop. These data are for an alert driver, a well-maintained car,
and dry road conditions. In other words, a person driving 40 mph wt!! take 40 feet to react and
then another 80 feet to brake. So, the car will travel 120 feet before it actually comes to a stop.
Use the data in the table to write function rules; then use the equations to comelete
5. The linear equation for the relationship
between speed and the reaction distance:
6. The quadratic equation for the relationship
between speed and braking distance:
the table
Speed
Reaction
Distance
Braking
Distance
Stopping
Distance
0
10
20
30
40
0
10
20
30
40
0
5
20
45
80
0
15
40
75
120
50
50
l2. S
\r5
60
~O
ie o
70
-:rO
240
'2 '--I 5 315
Use the data shown here to find function rules to model the relationships then comelete the table
Stopping Distance
Stopping Distance
Speed
7. The speed and stopping distance
for Trains
for Large Trucks
for large trucks:
0
0
0
8. The speed and stopping distance for trains:
10
20
30
40
21
54
99
156
900
2020
3360
4920
50
;,ld-.5
~1-OD
60
30lo
70
6 q l1
~O
to q'1...-0
Keepyour TAKS skills sharp!
Solve Systems of Equations
1. What is the x-coordinate of the solution to the system of linear equations:
A. -4
(8)-3
C. 3
i~~~~:~18
D.4
2. At a firefighters' pancake breakfast, the firefighters served 345 people and raised $1395. If
the cost of a, and adult's ticket to the pancake breakfast was $5 and the cost of c, a child's ticket
was $3, what was the number of adult tickets sold?
F. 165
@
180
H. 279
x ~ '6 -=--- s'-\5
J. 345
~)l
+- ,'(\ -:: \&95
3. Mrs. Travis wants to have a clown deliver balloons to her secretary's office. Clowns R Fun
charges $1.25 per balloon and $6 for delivery. Singing Balloons charges $1.95 per balloon and $2
for delivery. What is the minimum number of balloons Mrs. Travis needs to purchase in order for
Clowns R Fun to have a lower price than Singing Balloons?
A.
5
C. 11
D. 12
t. 2 t?}l +-l9 :::.-\.
V\
-
9
5"')(.
-+
d-.
.1-x
4. Maricella has a bag containing 35 nickels and quarters. The total value of these coins is less
than $2.50. What is the maximum number of quarters that meets these conditions?
®
10
G. 4
H. 3
J. 9