Question 1

If y varies directly as x, find the constant of variation and the direct variation equation for each situation.
-y = 8 when x = 12

Accepted Answer

The answer of If y varies directly as x, find...

Question 2

If y varies directly as x, find the constant of variation and the direct variation equation for each situation.
-y = 9 when x = 36

Accepted Answer

The answer of If y varies directly as x, find...

Question 3

If y varies directly as x, find the constant of variation and the direct variation equation for each situation.
-y = 16 when x = 10

Accepted Answer

The answer of If y varies directly as x, find...

Question 4

If y varies directly as x, find the constant of variation and the direct variation equation for each situation.
-y = 1/4 when x = 6 for h

Accepted Answer

The answer of If y varies directly as x, find...

Question 5

If y varies directly as x, find the constant of variation and the direct variation equation for each situation.
-y = 0.4 when x = 2.5

Accepted Answer

The answer of If y varies directly as x, find...

Question 6

Solve.
-The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 400 feet in 5 seconds, how far had it fallen in 3 seconds?

Accepted Answer

The answer of Solve.
-The distance that a freely falling body...

Question 7

Solve.
-The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.

Accepted Answer

The answer of Solve.
-The period (the time required for one...

Question 8

Solve.
-The distance a car travels at a fixed rate varies directly as the time. If a car travels 325 miles in 5 hours, how long would it take to travel 780 miles?

Accepted Answer

The answer of Solve.
-The distance a car travels at a...

Question 9

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation.
-y = 30 when x = 9

Accepted Answer

The answer of If y varies inversely as x, find...

Question 10

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation.
-y =16 when x = 24

Accepted Answer

The answer of If y varies inversely as x, find...

Question 11

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation.
-y = 1/3 when x = 9

Accepted Answer

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Question 12

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation.
-y = 0.8 when x = 0.6

Accepted Answer

The answer of If y varies inversely as x, find...

Question 13

Solve.
-The volume of a gas at a constant temperature varies inversely as the pressure. Find the volume of a gas under a pressure of 25 pounds if the gas occupies 15 cubic centimeters under a pressure of 20 pounds.

Accepted Answer

The answer of Solve.
-The volume of a gas at a...

Question 14

Solve.
-The time required for a car to travel a fixed distance varies inversely as the rate at which it travels. If it takes 5 hours at 64 mph to travel the distance, how long will it take at 60 mph?

Accepted Answer

The answer of Solve.
-The time required for a car to...

Question 15

Write each statement as an equation.
-v varies jointly as h and the square of r.

Accepted Answer

The answer of Write each statement as an equation.
-v varies...

Question 16

Write each statement as an equation.
-y varies jointly as x and z and inversely as w.

Accepted Answer

The answer of Write each statement as an equation.
-y varies...

Question 17

Solve.
-The volume V of a gas varies directly as the temperature T, and inversely as the pressure P. If V = 48 when T = 320 and P = 20, find V when T = 280 and P = 30.

Accepted Answer

The answer of Solve.
-The volume V of a gas varies...

Question 18

Solve.
-The simple interest earned by an amount of money varies jointly as the rate of interest and the time in years that the money is invested. If $120 is earned by money invested at 12% for 2 years, how much would be earned by the same amount invested at 13% for 3 years?

Accepted Answer

The answer of Solve.
-The simple interest earned by an amount...

Question 19

Solve.
-The electrical resistance of a wire varies directly as its length and inversely as the square of the diameter. If the resistance of 200 m of wire having a diameter of 0.5 cm 1.5 ohms, find the resistance of 400 m of wire with a diameter of 0.25 cm.

Accepted Answer

The answer of Solve.
-The electrical resistance of a wire varies...

Question 20

Solve.
-The volume V of a cylinder varies jointly as its height h and the square of the radius r of its base. If V = 1386 cmS1U1P13S1S1P0 when r = 7 cm and h = 9cm, find V when r = 14 cm and h = 5 cm. Round to the nearest whole number.

Accepted Answer

The answer of Solve.
-The volume V of a cylinder varies...

Quiz 6: Rational Expressions

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 8 when x = 12

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 9 when x = 36

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 16 when x = 10

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 1/4 when x = 6 for h

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 0.4 when x = 2.5

Solve. -The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 400 feet in 5 seconds, how far had it fallen in 3 seconds?

Solve. -The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.

Solve. -The distance a car travels at a fixed rate varies directly as the time. If a car travels 325 miles in 5 hours, how long would it take to travel 780 miles?

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y = 30 when x = 9

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y =16 when x = 24

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y = 1/3 when x = 9

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y = 0.8 when x = 0.6

Solve. -The volume of a gas at a constant temperature varies inversely as the pressure. Find the volume of a gas under a pressure of 25 pounds if the gas occupies 15 cubic centimeters under a pressure of 20 pounds.

Solve. -The time required for a car to travel a fixed distance varies inversely as the rate at which it travels. If it takes 5 hours at 64 mph to travel the distance, how long will it take at 60 mph?

Write each statement as an equation. -v varies jointly as h and the square of r.

Write each statement as an equation. -y varies jointly as x and z and inversely as w.

Solve. -The volume V of a gas varies directly as the temperature T, and inversely as the pressure P. If V = 48 when T = 320 and P = 20, find V when T = 280 and P = 30.

Solve. -The simple interest earned by an amount of money varies jointly as the rate of interest and the time in years that the money is invested. If $120 is earned by money invested at 12% for 2 years, how much would be earned by the same amount invested at 13% for 3 years?

Solve. -The electrical resistance of a wire varies directly as its length and inversely as the square of the diameter. If the resistance of 200 m of wire having a diameter of 0.5 cm 1.5 ohms, find the resistance of 400 m of wire with a diameter of 0.25 cm.

Solve. -The volume V of a cylinder varies jointly as its height h and the square of the radius r of its base. If V = 1386 cm³ when r = 7 cm and h = 9cm, find V when r = 14 cm and h = 5 cm. Round to the nearest whole number.

Quiz 6: Rational Expressions

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 8 when x = 12

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 9 when x = 36

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 16 when x = 10

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 1/4 when x = 6 for h

If y varies directly as x, find the constant of variation and the direct variation equation for each situation. -y = 0.4 when x = 2.5

Solve. -The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 400 feet in 5 seconds, how far had it fallen in 3 seconds?

Solve. -The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.

Solve. -The distance a car travels at a fixed rate varies directly as the time. If a car travels 325 miles in 5 hours, how long would it take to travel 780 miles?

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y = 30 when x = 9

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y =16 when x = 24

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y = 1/3 when x = 9

If y varies inversely as x, find the constant of variation and the direct variation equation for each situation. -y = 0.8 when x = 0.6

Solve. -The volume of a gas at a constant temperature varies inversely as the pressure. Find the volume of a gas under a pressure of 25 pounds if the gas occupies 15 cubic centimeters under a pressure of 20 pounds.

Solve. -The time required for a car to travel a fixed distance varies inversely as the rate at which it travels. If it takes 5 hours at 64 mph to travel the distance, how long will it take at 60 mph?

Write each statement as an equation. -v varies jointly as h and the square of r.

Write each statement as an equation. -y varies jointly as x and z and inversely as w.

Solve. -The volume V of a gas varies directly as the temperature T, and inversely as the pressure P. If V = 48 when T = 320 and P = 20, find V when T = 280 and P = 30.

Solve. -The simple interest earned by an amount of money varies jointly as the rate of interest and the time in years that the money is invested. If $120 is earned by money invested at 12% for 2 years, how much would be earned by the same amount invested at 13% for 3 years?

Solve. -The electrical resistance of a wire varies directly as its length and inversely as the square of the diameter. If the resistance of 200 m of wire having a diameter of 0.5 cm 1.5 ohms, find the resistance of 400 m of wire with a diameter of 0.25 cm.

Solve. -The volume V of a cylinder varies jointly as its height h and the square of the radius r of its base. If V = 1386 cm3 when r = 7 cm and h = 9cm, find V when r = 14 cm and h = 5 cm. Round to the nearest whole number.

Solve. -The volume V of a cylinder varies jointly as its height h and the square of the radius r of its base. If V = 1386 cm³ when r = 7 cm and h = 9cm, find V when r = 14 cm and h = 5 cm. Round to the nearest whole number.