9.1 REASSESSMENT REQUIREMENTS: Inverse Variation
1. y varies inversely as x, and y  60 when
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2. y varies inversely as x, and y  10 when
x  2, what is the value of y when x = 10?
x  3, what is the value of x when y = 5?
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3. y varies inversely as x, and y  20 when
4. y varies inversely as x, and y  3 when
x  5, what is the value of y when x = 4?
x  50, what is the value of x when y = 10?
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Determine whether each data set represents a direction variation, an inverse
variation, or neither. Then write the equation that represents the table.
5.
x
y
15
20
10
30
2
6.
7.
x
10
20
15
x
6
y
30
60
45
y
90
150
9
20
135 300
Solve.
8. The cost per student, c, needed for the class trip varies inversely as the number of students, s, going on the trip. If
the cost per student is $13 when 92 students go on the trip, how much would it cost per student if 116 students go
on the class trip? Round to the nearest cent if necessary.
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9.The volume, V, of a gas varies inversely as the pressure, P, on it. If the volume is 360 cm3 under pressure of
60 kg/cm2, what pressure has to be applied to have a volume of 200 cm3?
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10. The time in hours, t, it takes to set up a concert venue varies inversely as the number of volunteers, v. If it takes 6
hours when there are 20 volunteers, how long will it take to set up the concert if 30 people volunteer?
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