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WorksheetsInverse Variation
Total questions: 13
Worksheet time: 13mins
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
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
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
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
Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation?
y=2x
y=2/x
y=4x
y=x/2
If x and y are in an inverse variation then which of the following is correct?
x - y = constant
x + y = constant
xy = constant
x⁄y is constant
If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?
121
4
100
6
a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5.
0.36
9
25
36
The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?
$22.50
$57.60
$1.11
$12.50
What type of variation does this scenario represent?
The outside temperature
and the number of layers of clothes you need to wear outside to feel comfortable
direct variation
inverse variation
joint variation
none of these
The time to prepare a field for planting is inversely proportional to number of people who are working.
A large field can be prepared by five workers in 24 days. In order to finish the field sooner, the farmer plans to hire additional workers.
How many workers are needed to finish the field in 15 days?
6 workers
10 workers
8 workers
4 workers
