Variation

Quiz by jason thompson

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Q 1/20
Score 0
If the volume of a cylinder is directly proportional to its height, which equation correctly represents this relationship, given the constant of proportionality is k?
29
$V = kh^2$
$V = \frac{h}{k}$
$V = k \cdot h$
$V = \frac{k}{h}$

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20 questions

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Q1
If the volume of a cylinder is directly proportional to its height, which equation correctly represents this relationship, given the constant of proportionality is k?
$V = kh^2$
$V = \frac{h}{k}$
$V = k \cdot h$
$V = \frac{k}{h}$
30s
Q2
30s
Q3
The distance a car travels is directly proportional to the time spent driving. If the car travels 120 kilometers in 2 hours, how far will it travel in 5 hours at the same speed?
250 kilometers
200 kilometers
350 kilometers
300 kilometers
30s
Q4
If y varies inversely as x and y = 4 when x = 3, what is the value of y when x = 6?
2
3
1
4
30s
Q5
The gravitational force between two objects is inversely proportional to the square of the distance between them. If the force is 100 N when the distance is 2 meters, what is the force when the distance is 4 meters?
25 N
100 N
50 N
75 N
30s
Q6
A rectangle's area varies directly with its length and inversely with its width. If the area is 50 square units with a length of 10 units and a width of 2 units, what would the area be with a length of 20 units and a width of 4 units?
50 square units
25 square units
75 square units
100 square units
30s
Q7
In a certain chemical reaction, the rate of reaction R is directly proportional to the concentration C of the reactant and inversely proportional to the temperature T. If the rate is 3 units when the concentration is 6 M and the temperature is 300 K, what is the rate when the concentration is 12 M and the temperature is 600 K?
1.5 units
3 units
2.5 units
2 units
30s
Q8
30s
Q9
The amount of sunlight that a solar panel receives is inversely proportional to the square of the distance from the light source. If a panel receives 400 units of sunlight at a distance of 2 meters, how much sunlight will it receive at a distance of 4 meters?
300 units
50 units
100 units
200 units
30s
Q10
A gas pressure is directly proportional to its temperature when volume is held constant. If the pressure is 150 kPa at a temperature of 300 K, what will the pressure be at 450 K?
200 kPa
300 kPa
250 kPa
225 kPa
30s
Q11
30s
Q12
30s
Q13
30s
Q14
30s
Q15
30s

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Variation

Quiz by jason thompson

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