WorksheetsVariation
Total questions: 15
Worksheet time: 12mins
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
The cost c varies directly as the number of n pencils is written as
c = kn
k = cn
n = k/c
c = k/n
A type of variation that involves 3 or more quantities that may vary directly.
Direct Variation
Inverse Variation
Joint Variation
Combined Variation
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
Which of the following types of variation states that the decrease of one quantity results to the increase of the other quantity?
Direct Variation
Inverse Variaton
Joint Variation
Combined Variation
If y varies directly as x and y = 24, when x = 3, then what is the value of k?
4
6
8
72
Which of the following phrases illustrate an inverse variation?
The area of the wall to the amount of paint used to cover it
The amount of money raised in a concert to the number of tickets sold
The time a teacher spends in checking papers to the number of students
The age of a used car to its resale value
If s varies directly as t and inversely as v, then which of the following equations describes the relation among the three variables s, t, and v?
s = k / tv
s = kv / t
1/s = kt/ v
s = kt / v
This is a variation where one quantity varies directly to other quantity and inversely to the other quantity.
Direct Variation
Inverse Variation
Joint Variaiton
Combined Variation
Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.
yes, the constant of variation is 1/2
yes, the constant of variation is 2
no, there is constant of variation.
Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.
yes, the constant of variation is 8.
no, there is no constant of variation
yes, the constant of variation is 1/8
Determine if there is a constant of variation. If so, explain what it represents.
The equation y = 24 x represents the number of bottles of water y in x packages.
The constant of variation is 24. This means that there are 24 bottles of water in each package.
There is no constant of variation. The number of bottles varies per package.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.
