Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers Page 9
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12138) Body-mass index, or BMI, takes both weight and
height into account when assessing whether an
individual is underweight or overweight. BMI
varies directly as oneʹs weight, in pounds, and
inversely as the square of oneʹs height, in inches.
In adults, normal values for the BMI are between
20 and 25. A person who weighs 182 pounds and
is 71 inches tall has a BMI of 25.38. What is the
BMI, to the nearest tenth, for a person who
weighs 120 pounds and who is 65 inches tall?
Write an equation that expresses the relationship. Use k as
the constant of variation.
139) f varies jointly as g and the square of z.
140) p varies jointly as q and the cube of r.
141) r varies jointly as b and the sum of p and h.
Find the variation equation for the variation statement.
142) z varies jointly as y and the cube of x; z = 2240
when x = 4 and y = -7
Determine the constant of variation for the stated condition.
143) t varies jointly as r and s, and t = 896 when r = 32
and s = 7.
Solve the problem.
144) h varies jointly as f and g. Find h when f = 15, g =
8, and k = 3.
145) f varies jointly as q 2 and h, and f = 64 when q = 4
and h = 2. Find f when q = 3 and h = 4.
146) The amount of paint needed to cover the walls of
a room varies jointly as the perimeter of the room
and the height of the wall. If a room with a
perimeter of 70 feet and 8-foot walls requires
5.6 quarts of paint, find the amount of paint
needed to cover the walls of a room with a
perimeter of 45 feet and 6-foot walls.
147) While traveling in a car, the centrifugal force a
passenger experiences as the car drives in a circle
varies jointly as the mass of the passenger and the
square of the speed of the car. If a passenger
experiences a force of 36 newtons when the car is
moving at a speed of 20 kilometers per hour and
the passenger has a mass of 100 kilograms, find
the force a passenger experiences when the car is
moving at 20 kilometers per hour and the
passenger has a mass of 40 kilograms.
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