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1. If R is inversely proportional to A, and
2. If p varies inversely as q, and
when
Inverse Variation
Regents Problems
when
, what is the value of R when
, what is the value of p when
?
?
3. In the table below, y varies inversely as x. What is the value of t?
4. Tracy, a political campaign organizer, realizes that the number of hours needed to get out a mailing for her
candidate is inversely proportional to the number of campaign workers she has. If she uses the information in
the accompanying graph, how many hours would it take to do the mailing if 125 workers are used?
5. According to Boyle's Law, the pressure, p, of a compressed gas is inversely proportional to the volume, v. If
a pressure of 20 pounds per square inch exists when the volume of the gas is 500 cubic inches, what is the
pressure when the gas is compressed to 400 cubic inches?
6. In a given rectangle, the length varies inversely as the width. If the length is doubled, the width will
1)
2)
3)
4)
be divided by 2
remain the same
be multiplied by 2
increase by 2
7. For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles,
the length is 12 and the width is 6. For this set of rectangles, calculate the width of a rectangle whose length
is 9.
8. The price per person to rent a limousine for a prom varies inversely as the number of passengers. If five
people rent the limousine, the cost is $70 each. How many people are renting the limousine when the cost per
couple is $87.50?
9. Explain how a person can determine if a set of data represents inverse variation and give an example using
a table of values.
10. Which statement is true if r varies inversely as s?
1) Their difference will be constant.
2) Their sum will be constant.
3) Their quotient will be constant.
4) Their product will be constant.
11. Which equation shows that p varies inversely as q?
1)
2)
3)
4)
12. If x varies inversely as y, which statement is true?
1) When x is multiplied by 2, y is multiplied by 2.
2) When x is multiplied by 2, y is divided by 2.
3) When x is divided by 2, y is divided by 2.
4) When x is increased by 2, y is decreased by 2.