Inverse Direct Variation Practice Sheet, Exercises of Law

If it is a direct or inverse variation, write a function to model it. x. 1 b. direct variation; y = x. 8 c. neither. ____. 2 ...

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____ 1.
a. inverse variation;
y
8
Name:
________________________
Class:
___________________
Date:
__________
ID:
A
Inverse Direct Variation Practice Sheet
Multiple
Choice
Identify the letter of the choice that best completes the statement or answers the question.
Is
the
relationship
between
the
variables
in
the
table
a
direct
variation,
an
inverse
variation,
or
neither?
If
it
is
a
direct
or
inverse
variation,
write
a
function
to
model
it.
x
1
b. direct variation; y = x
8
c. neither
____ 2.
A drama club is planning a bus trip to New York City to see a Broadway play. The cost per person for the
bus rental varies inversely as the number of people going on the trip. It will cost $30 per person if 44 people
go on the trip. How much will it cost per person if 60 people go on the trip? Round your answer to the nearest
cent, if necessary.
a. $22.00 b. $40.91 c. $1,320.00 d. $21.29
3.
Designer Dolls, Inc., found that the number N of dolls sold varies directly with their advertising budget A and
inversely with the price P of each doll. The company sold 1800 dolls when $34,000 was spent on advertising
and the price of a doll was set at $25. Determine the number of dolls sold when the amount spent on
advertising is increased to $42,000. Round to the nearest whole number.
a. 877 dolls c. 2,224 dolls
b. 710 dolls d. 1,800 dolls
x
8
11
14
17
y
1
10
18
31
pf3
pf4
pf5

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____ 1.

a. inverse variation; y^ 

Name: ________________________ Class: ___________________ Date: __________ ID: A

Inverse Direct Variation Practice Sheet

Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it. x 1 b. direct variation; y = x 8 c. neither ____ 2. A drama club is planning a bus trip to New York City to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 60 people go on the trip? Round your answer to the nearest cent, if necessary. a. $22.00 b. $40.91 c. $1,320.00 d. $21.

  1. Designer Dolls, Inc., found that the number N of dolls sold varies directly with their advertising budget A and inversely with the price P of each doll. The company sold 1800 dolls when $34,000 was spent on advertising and the price of a doll was set at $25. Determine the number of dolls sold when the amount spent on advertising is increased to $42,000. Round to the nearest whole number. a. 877 dolls c. 2,224 dolls b. 710 dolls d. 1,800 dolls x 8 11 14 17 y 1 10 18 31

Use direct and inverse variation to solve for unknown values

1 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. 2 When air is pumped into an automobile tire, the pressure is inversely proportional to the volume. If the pressure is 35 pounds when the volume is 120 cubic inches, what is the pressure, in pounds, when the volume is 140 cubic inches? 3 Boyle's Law states that the pressure of compressed gas is inversely proportional to its volume. The pressure of a certain sample of a gas is 16 kilopascals when its volume is 1,800 liters. What is the pressure, in kilopascals, when its volume is 900 liters? 4 A pulley that has a diameter of 8 inches is belted to a pulley that has a diameter of 12 inches. The 8 - inch-diameter pulley is running at 1, revolutions per minute. If the speeds of the pulleys vary inversely to their diameters, how many revolutions per minute does the larger pulley make? 5 The time it takes to travel to a location varies inversely to the speed traveled. It takes 4 hours driving at an average speed of 55 miles per hour to reach a location. To the nearest tenth of an hour , how long will it take to reach the same location driving at an average speed of 50 miles per hour? 6 The amount of money each member of a band earns playing at a graduation party varies inversely as the number of members in the band. If the band has five members, each member earns $70. Write an equation that models the relationship between the number of members in a band, n , and the amount each member earns, d. Use the equation to calculate the amount each member earns if there are four members in the band. 7 Challenge question 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? 1