Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers (Page 8 of 12) in pdf

If y varies directly as x, find the direct variation equation for

129) If the voltage, V, in an electric circuit is held

the situation.

constant, the current, I, is inversely proportional

118) y = 10 when x = 6

to the resistance, R. If the current is 90

milliamperes when the resistance is 4 ohms, find

the current when the resistance is 12 ohms.

119) y = 0.4 when x = 0.2

Write an equation that expresses the relationship. Use k as

Solve the problem.

the constant of variation.

120) y varies directly as z and y = 187 when z = 11.

130) The intensity I of light varies inversely as the

Find y when z = 16.

square of the distance D from the source. If the

intensity of illumination on a screen 56 ft from a

121) If y varies directly as the square of x, and y = 40

light is 3.4 footcandles, find the intensity on a

when x = 8, find y when x = 20.

screen 80 ft from the light.

122) If the resistance in an electrical circuit is held

Write an equation that expresses the relationship. Use k for

constant, the amount of current flowing through

the constant of proportionality.

the circuit is directly proportional to the amount

131) p varies directly as q and inversely as r.

of voltage applied to the circuit. When 3 volts are

applied to a circuit, 75 milliamperes of current

132) x varies directly as the square of y and inversely

flow through the circuit. Find the new current if

as the cube of z.

the voltage is increased to 11 volts.

133) q varies jointly as r and s and inversely as the

123) The distance that an object falls when it is

square root of a.

dropped is directly proportional to the square of

the amount of time since it was dropped. An

Determine the constant of variation for the stated condition.

object falls 288 feet in 3 seconds. Find the distance

134) t varies directly as r and inversely as s, and t = 2

the object falls in 5 seconds.

when r = 30 and s = 75.

Write an equation that expresses the relationship. Use k as

Find the variation equation for the variation statement.

the constant of variation.

135) c varies directly as a and inversely as b; c = 4

124) r varies inversely as b.

when a = 48 and b = 48

If y varies inversely as x, find the inverse variation equation

Solve the problem.

for the situation.

136) y varies jointly as a and b and inversely as the

125) y = 5 when x = 9

square root of c. y = 8 when a = 4, b = 2, and c = 9.

Find y when a = 2, b = 6, and c = 25.

126) y = 0.5 when x = 0.4

137) The time in hours it takes a satellite to complete

Solve the problem.

an orbit around the earth varies directly as the

127) x varies inversely as y 2 , and x = 4 when y = 12.

radius of the orbit (from the center of the earth)

and inversely as the orbital velocity. If a satellite

Find x when y = 4.

completes an orbit 740 miles above the earth in

9 hours at a velocity of 28,000 mph, how long

Solve.

would it take a satellite to complete an orbit if it is

128) The amount of time it takes a swimmer to swim a

at 1600 miles above the earth at a velocity of

race is inversely proportional to the average speed

34,000 mph? (Use 3960 miles as the radius of the

of the swimmer. A swimmer finishes a race in 50

earth.) Round to the nearest hundredth if

seconds with an average speed of 3 feet per

necessary.

second. Find the average speed of the swimmer if

it takes 30 seconds to finish the race.

Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers Page 8

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