Quiz #1 - Variation (Grade 9)
1. The amount of gasoline used by a car varies directly to its distance travel and the square root of the speed. What kind of variation illustrates this statement?
A. Direct
B. Inverse
C. Joint
D. Combined
2. The amount of ticket in cinema varies as the number of people who watched it. If the number of people increases. What will be the effect in the amount of tickets?
A. increases
B. decreases
C. doubled
D. Remain the same
3. The table show the number of bottles (n) and produced by a machine and the time (t) in hours a machine is working; find equation relating t and n.
A. t = 900n
B. n = 900t
C. t = 1800n
D. n = 1800t
4. The table show the number of bottles (n) and produced by a machine and the time (t) in hours a machine is working; find n if t=5.5
A. 4,950
B. 9,900
C. 4,900
D. 9,990
5. The volume V of a gas varies inversely as the pressure P on it. If the volume is 240 cu.cm under pressure of 30 kg per cm, squared. What is the value of constant?
A. k = 210
B. k = 8
C. k = 0.125
D. k = 7200
6. The volume V of a gas varies inversely as the pressure P on it. If the volume is 240 cu.cm under pressure of 30 kg per cm, squared. What pressure has to be applied to have a volume of 160 cu.cm?
A. P = 40 kg/cm²
B. P = 45 kg/cm²
C. P = 50 kg/cm²
D. P = 55 kg/cm²
7. If y varies jointly as x and z and y = 24, when x = 2 and z = 6. Find the constant of variation.
A. k = 8
B. k = 4
C. k = 2
D. k = 1
8. If y varies jointly as x and z and y = 24, when x = 2 and z = 6. Find the equation of variation.
A. y = 2xz
B. y = 4xz
C. 8xz = y
D. y = xz
9. The number of girls varies directly as the number of boys and inversely as the number of teachers. When there were 50 girls, there were 20 teachers and 10 boys. What is value of constant? And how many boys where there when there were 10 girls and 100 teachers?
A. k = 10 and B = 100
B. k = 100 and B = 1
C. k = 10 and B = 1
D. k = 100 and B = 10
Translate this formula to English statement m = k / c³
A. M is jointly proportional to the cube of c
B. C is indirectly proportional to the cube of m
C. M is inversely proportional to the cube of c
D. C is indirectly proportional to the cube of m
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