
Direct Variation or Inverse Variation
Authored by Anthony Clark
Mathematics
9th Grade

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.
300
75
1,875
12
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 75 kg?
50 kg water
72 kg water
94 kg water
150 kg water
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The volume V of a gas kept at a constant temperature varies inversely as the pressure p.
If the pressure is 24 pounds per square inch, the volume is 15 cubic feet.
What will be the volume when the pressure is 30 pounds per square inch?
8 cubic feet
10 cubic feet
12 cubic feet
14 cubic feet
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What relationship does the table represent?
Direct
Inverse
Neither
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
This type of variation states that the two quantities increase at the same time or decrease at the same time.
Direct Variation
Inverse Variation
Joint Variation
Combined Variation
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The cost c varies directly as the number of n pencils is written as
c = kn
k = cn
n = k/c
c = k/n
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The speed r of a moving object is inversely proportional to the time t travelled is written as
r = kt
r = k/t
t = kr
t = r/k
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