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WorksheetsSlope Direct Variation Constant of Variation and Proportions
Total questions: 20
Worksheet time: 20mins
Write an equation for this relationship.
y = 4x
y = 1/8x
y = 1/4x
y = 8x
Find the slope of the line that passes through the points (2, 4) and (6, 12)
1/2
-1/2
2
-2
Is this table proportional or non-proportional?
Proportional
Non-Proportional
4
C.O.P.
Do the ratios form a proportion?
Yes, they form a proportion.
No, they do not form a proportion.
Write an equation for this relationship.
y=4x
y=1/8x
y=1/4x
y=8x
What is the constant of proportionality?
8
16
24
2
The value of y varies directly with x. Which function represents the relationship between x and y if y = 20/3 when x = 30?
y = 200x
y = 2/9x
y = 110/3x
y = 9/2x
Write a direct variation equation when y = 18 and x = 12
y = 6x
y = 3/2 x
y = 2/3 x
y = 1/6 x
If m and n vary directly and m = 14 when n = 3.5, what is the value of m when n = 8?
4
32
2
6.2
n varies directly with c. If c = 24 when n = 18, what is c when n = 22?
88/3
28
66/4
24
The graph below shows the relationship between minutes watering grass and amount of water used in gallons. Which function best represents the relationship shown in the graph?
HINT
y = kx
k = runrise
y=5x
y=51x
y=2x
y=21x
Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?
4/5
17
16
25
True or false: The constant of variation is the same as the slope of the line.
True
False
The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
$2
$308
$1.57
$265
Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.
no, there is no constant of variation
yes, the constant of variation is 100
yes the constant of variation is 50
Determine if there is a constant of variation. If so, explain what it represents. The equation y = 9.50 x represents the number of dollars y Marty paid for x movie tickets.
The constant of variation is 9.50. This means that Marty paid $9.50 for each movie ticket
There is no constant of variation. There is not a direct variation between the number of tickets and the total cost.
The graph shows the water level as a bathtub fills. Select the correct choice that describes this graph.
The graph is proportional because the y to x ratio is constant (the same).
The graph is non-proportional because it does not pass through the origin (0,0).
The graph is proportional because it is linear (a straight line).
The graph is non-proportional because it is linear (a straight line).
Two quantities that both increase or decrease by the same multiple
ratio
rate
slope
direct variation
When quantities have the same relative size. In other words they have the same ratio.
proportional
slope
unit rate
cross products
How steep a line is.
proportion
rate
unit rate
slope
