Question 1

The intensity of illumination ( B ) received from a source of light is inversely proportional to the square of the distance ( d ) from the source. Translate the statement of variation into an equation and use k as the constant of variation.

Accepted Answer

The answer of The intensity of illumination ( B )...

Question 2

The period (the time required for one complete oscillation) of a simple pendulum varies directly as the square root of its length. If a pendulum 1 inches long has a period of 0.5 seconds, find the period of a pendulum 10 inches long. Express your answer to the nearest tenth of a second. __________ seconds

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Question 3

At a constant temperature, the volume ( v ) of a gas varies inversely as the pressure ( H ). Translate the statement of variation into an equation and use k as the constant of variation.

Accepted Answer

The answer of At a constant temperature, the volume (...

Question 4

The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) that the money is invested. If the money is invested at 14% for 2 years, $84 is earned. How much is earned if the money is invested at 15% for 4 years? $__________

Accepted Answer

The answer of The simple interest earned by a certain...

Question 5

Translate the statement of variation into an equation and use k as the constant of variation. Z varies jointly as l and x .

Accepted Answer

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Question 6

The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 612 feet in 6 seconds, how far will it fall in 9 seconds? __________ feet

Accepted Answer

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Question 7

Translate the statement of variation into an equation and use k as the constant of variation. v varies directly as the cube of w .

Accepted Answer

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Question 8

If y is inversely proportional to x , and $y = \frac { 1 } { 30 }$ when x = 4, find the value of y when x = 16. Please enter your answer as a fraction.

Accepted Answer

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Question 9

If y is directly proportional to x , and y = 14 when x = 56, find the value of y when x = 40.

Accepted Answer

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Question 10

The volume of a cylinder varies jointly as its altitude and the square of the radius of its base. If the volume of a cylinder is 760 cubic centimeters when the radius of the base is 11 centimeters and its altitude is 2 centimeters, find the volume of a cylinder that has a base of radius 99 centimeters. The altitude of the cylinder is 14 centimeters. __________ cubic centimeters

Accepted Answer

The answer of The volume of a cylinder varies jointly...

Question 11

If V varies jointly as B and h , and V = 30 when B = 9 and h = 10, find V when B = 16 and h = 18.

Accepted Answer

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Question 12

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 150 when b = 40 and h = 5. Please enter your answer as a fraction.

Accepted Answer

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Question 13

Find the constant of variation for the stated condition: y varies directly as x , and y = 125 when x = 100. Please enter your answer as a fraction.

Accepted Answer

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Question 14

The volume ( Z ) of a gas varies directly as the absolute temperature ( Q ) and inversely as the pressure ( H ). Translate the statement of variation into an equation and use k as the constant of variation.

Accepted Answer

The answer of The volume ( Z ) of a...

Question 15

The time required for a car to travel a certain distance varies inversely as the rate at which it travels. If it takes 2 hours at 60 miles per hour to travel the distance, how long will it take at 20 miles per hour? __________ hours

Accepted Answer

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

Quiz 13: Functions

The intensity of illumination ( B ) received from a source of light is inversely proportional to the square of the distance ( d ) from the source. Translate the statement of variation into an equation and use k as the constant of variation.

At a constant temperature, the volume ( v ) of a gas varies inversely as the pressure ( H ). Translate the statement of variation into an equation and use k as the constant of variation.

The simple interest earned by a certain amount of money varies jointly as the rate of interest and the time (in years) that the money is invested. If the money is invested at 14% for 2 years, $84 is earned. How much is earned if the money is invested at 15% for 4 years? $__________

Translate the statement of variation into an equation and use k as the constant of variation. Z varies jointly as l and x .

The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 612 feet in 6 seconds, how far will it fall in 9 seconds? __________ feet

Translate the statement of variation into an equation and use k as the constant of variation. v varies directly as the cube of w .

If y is inversely proportional to x , and y=130y = \frac { 1 } { 30 }y=301​ when x = 4, find the value of y when x = 16. Please enter your answer as a fraction.

If y is directly proportional to x , and y = 14 when x = 56, find the value of y when x = 40.

If V varies jointly as B and h , and V = 30 when B = 9 and h = 10, find V when B = 16 and h = 18.

Find the constant of variation for the stated condition: A varies jointly as b and h , and A = 150 when b = 40 and h = 5. Please enter your answer as a fraction.

Find the constant of variation for the stated condition: y varies directly as x , and y = 125 when x = 100. Please enter your answer as a fraction.

The volume ( Z ) of a gas varies directly as the absolute temperature ( Q ) and inversely as the pressure ( H ). Translate the statement of variation into an equation and use k as the constant of variation.

The time required for a car to travel a certain distance varies inversely as the rate at which it travels. If it takes 2 hours at 60 miles per hour to travel the distance, how long will it take at 20 miles per hour? __________ hours

If y is inversely proportional to x , and $y = \frac { 1 } { 30 }$ when x = 4, find the value of y when x = 16. Please enter your answer as a fraction.