Vocabulary
Tables
Proportions
Graphs
Y=kx
Wild Card
100
100
100
100
100
100
200
200
200
200
200
200
300
300
300
300
300
300
400
400
400
400
400
400
500
500
500
500
500
500
Q: 100
What is an equation that
states two ratios are
equivalent?
Proportion
Q: 200
What is the point in the
center of a coordinate
plane?
A: 200
Origin
Q: 300
What are the numbers of
an ordered pair that
locate a point on a
coordinate graph?
A: 300
Coordinates
Q: 400
What is a value that does not
change?
A:400
Constant
Q:500
What is the symbol used to
represent a quantity that can
change?
A:500
Variable
Q:100
Does the
following table
represent a
direct
variation/prop
ortion?
X
Y
2
4
6
12
4
8
0
0
3
6
A:100
Yes! As the x-values increase, the y-values
increase! Hint: You may have to re-order
the numbers… but if you move an x, you
must move the y as well!
Q:200
Complete the
following
table for
1
y x .
6
X
y
0
3
6
9
12
A: 200
X
0
3
6
9
12
y
0
½
1
1½
2
Q: 300
Kaden can walk 1 mile in 10
minutes. Create a table of
values which represent time and
distance.
X- Distance
Y- Time
*Give 4 Coordinates!
A: 300
Answers may vary depending on groups!
Q: 400
What three things must be true
for a table to represent a
direct variation?
A: 400
1. As x increases, y must increase.
2. As x decreases, y must decrease.
3. The constant (k) must be the same!
Q: 500
Determine the direct
variation/proportion
equation for the table
shown here.
X
Y
0
1
2
3
4
0
3.5
7
10.5
14
A: 500
Y = 3.5x
Q: 100
Set- up a proportion & solve the following
problem:
Johnny scores 27 points on three
basketball games. The season has 10
games. How many points can Johnny
expect to score by the end of the season?
A: 100
2 7 p ts
3 g a m es

xp ts
1 0 g a m es
27  10  270
2 7 0  3  9 0 p ts !
Q: 200
Set- up a proportion and Solve:
If y varies directly with x, and
y=34 when x=17. Find x when
y=68.
A: 200
17
34

x
68
17  68  1156
1156  34  34 !
Q: 300
Li mixes 3 units of red paint with
8 units of white paint to get
pink. How many units of red
paint should she mix with12
units of white paint to get the
same pink shade?
A: 300
4 ½ units
Q: 400
Shane’s neighbor pledged
$1.25 for every .5 miles Shane
swims in the charity swim-athon. If Shane swims 3 miles,
how much money will his
neighbor donate?
A: 400
$7.50
Q: 500
A lighthouse casts a shadow 36m
long when a meter stick casts a
shadow 3m long. How tall is the
lighthouse?
A: 500
12m tall
Q:100
If you have a positive constant, your
graphed line will be in which two
quadrants?
A:100
Quadrants I and III
Q: 200
If you have a negative constant, your
graphed line will be in which two
quadrants?
A: 200
Quadrants II and IV
Q: 300
Determine whether the points given create a
direct variation.
(1, 3) (2, 6) (3,12) and (4,3)
A: 300
No, when you graph the points they do not
go through the origin. They also do not
have a constant.
Q: 400
Determine whether the points given create a
direct variation.
(2, 9) (3, 13.5) (4, 18) and (5, 22.5)
A: 400
Yes, when graphed they go through the
origin and have a constant of 4.5.
Q: 500
Find an equation and graph the variation
where y varies directly as x, when y=630
and x=175.
A: 500
y= 3.6x
Graph will be on whiteboard!
Q:100
X and y vary directly. When x=15 and y=60.
Find the direct variation/proportion
equation.
A: 100
y= 4x
Q: 200
X and y vary directly. When x= 20 and y=
100, find x when y= 500.
A: 200
x=100
Q: 300
Why do we say “find an equation which
relates x and y”?
A: 300
X and y are related by the constant,
therefore when we find the direct
variation equation/proportion we are
finding the link between them.
Q: 400
Which of the following is a direct variation
equation?
a. 17/y=x
b. x+2=19
c. x/2=y
d. 19-y=x
A: 400
C
Q: 500
Find the direct
variation/proportion
equation for the
following table.
X
Y
25
1
50
2
75
3
100
4
125
5
A: 500
y=1/25 x
Q: 100
True or False:
Graphs of Direct Variations/Proportions can
start in Quadrant I and end in Quadrant II?
A: 100
False
Q: 200
Sue works $8 an hour. If she works x hours
during the week, write an equation
showing how much she will get paid. Let
y be that amount.
A: 200
y=$8x
Q: 300
Give me two variables which would not
represent a direct variation/proportion.
Ex. Test grade/# of gallons your mom’s
car holds
A: 300
Answers may vary!
Q: 400
When one variable increases, the other
variable ________. When one variable
decreases, the other variable
________.
A: 400
Increases, Decreases
Q: 500
Explain how you know a table of values
represents a direct variation/proportion.
A: 500
A table which represents a direct
variation/proportion will have both x and y
values increasing/decreasing. The k’s will
also be the same for each set of
coordinates.