11/10/2022-HW Variation & Review

In case you want to refer back directly to the video, you can open it here: 

(please note that #14 is INCORRECT on the notes and the video...the answer should be 13.5, not 12)

The filled in notes below may help you clarify which type of equation to use based on the question.  This is also provided inside schoology.

1

Translate into an equation to represent the relationship:

"w is directly proportional to v'

1

Translate into an equation to represent the relationship:

"a varies inversely with b"

1

Translate into an equation to represent the relationship:

"f varies jointly with g and h"

1

Translate into an equation to represent the relationship:

"y varies jointly with x and the square root of z"

1

Translate into an equation to represent the relationship:

"m varies directly with n squared and inversely with p"

1

Translate into an equation to represent the relationship:

"n varies inversely as the square root of m and directly with p"

1

"The volume (V) of gas varies directly as the temperature (T) and inversely as the pressure (P)." Which of the following represent the correct formula that represents this relationship?

1

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

1

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

1

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

1

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

1

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

1

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

1

Suppose y varies directly with x and y = 17.5 when x = 21, find y when x = 39.

1

Suppose y varies jointly with x and z. When y = 90, x = 2 and z = 9. Find x when y = 105 and z = 3.

1

If c varies inversely with b and c = 4.75 when b = 38, find c when b = 50.

(enter your answer as a fraction or rounded to the hundreths place)

1

If q is inversely proportional to r squared and q = 30 when r = 3, find r when q = 1.2

1

If c varies jointly as a cubed and b squared and c = 25.6 when a = 2 and b = 4, find c when a = 4 and b = 7.

enter your answer as a decimal rounded to the tenths place

1

A lever pivots on a support called a fulcrum. (as shown in the picture)
For a balanced lever, the distance d (in feet) an object is from the fulcrum varies inversely with the object's weight w (in pounds). An object weighing 150 pounds is placed 8 feet from a fulcrum. How far from the fulcrum must a 128 pound object be place to balance the lever?

(round your answer to the nearest tenths place, enter the number only (no units))

1

The cost to print fliers for the opening of an art show varies directly with the number of copies. If it cost $45 to print 750 copies, what will be the total cost for 870 copies?

input your answer with as dollars and cents (like you would normally see it shown!!)

1

The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8 gallons per minute, a hose can fill the tank in 45 minutes. How long will it take to fill the same tank at 15 gallons per minute?

enter the number only (no units)

1

The volume of a pyramid varies jointly with its height and the area of the base. A pyramid with a height of 16 feet and a base area of 78 square feet has a volume of 416 cubic feet. If a pyramid has a base area of 102 square feet and a volume of 238 cubic feet, find its height.

Just enter your answer (no units required)

REVIEW

1

Find the quotient:
Give your answer in simplest form.

1

Simplify:

1

Find the sum/difference. Give your answer in simplest form.

1

Find the sum/difference. Give your answer in simplest form.

4

Solve:
input your answer using set notation

3

Solve:
input your answer using set notation

1

upload your pages of work here--page 1

1

upload your pages of work here--page 2

1

upload your pages of work here--page 3

1

Translate into an equation to represent the relationship:"w is directly proportional to v'

Translate into an equation to represent the relationship:"a varies inversely with b"

Translate into an equation to represent the relationship:"f varies jointly with g and h"

Translate into an equation to represent the relationship:"y varies jointly with x and the square root of z"

Translate into an equation to represent the relationship:"m varies directly with n squared and inversely with p"

Translate into an equation to represent the relationship:"n varies inversely as the square root of m and directly with p"

"The volume (V) of gas varies directly as the temperature (T) and inversely as the pressure (P)." Which of the following represent the correct formula that represents this relationship?

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

What type of variation is shown in the following equation? (type: direct, inverse, or joint in the answer box)

Suppose y varies directly with x and y = 17.5 when x = 21, find y when x = 39.

Suppose y varies jointly with x and z. When y = 90, x = 2 and z = 9. Find x when y = 105 and z = 3.

If c varies inversely with b and c = 4.75 when b = 38, find c when b = 50.(enter your answer as a fraction or rounded to the hundreths place)

If q is inversely proportional to r squared and q = 30 when r = 3, find r when q = 1.2

If c varies jointly as a cubed and b squared and c = 25.6 when a = 2 and b = 4, find c when a = 4 and b = 7.enter your answer as a decimal rounded to the tenths place

The cost to print fliers for the opening of an art show varies directly with the number of copies. If it cost $45 to print 750 copies, what will be the total cost for 870 copies?input your answer with as dollars and cents (like you would normally see it shown!!)

The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8 gallons per minute, a hose can fill the tank in 45 minutes. How long will it take to fill the same tank at 15 gallons per minute?enter the number only (no units)

Find the quotient:Give your answer in simplest form.

Simplify:

Find the sum/difference. Give your answer in simplest form.

Find the sum/difference. Give your answer in simplest form.

Solve:input your answer using set notation

Solve:input your answer using set notation

upload your pages of work here--page 1

upload your pages of work here--page 2

upload your pages of work here--page 3

upload your pages of work here--page 4

Translate into an equation to represent the relationship:

"w is directly proportional to v'

Translate into an equation to represent the relationship:

"a varies inversely with b"

Translate into an equation to represent the relationship:

"f varies jointly with g and h"

Translate into an equation to represent the relationship:

"y varies jointly with x and the square root of z"

Translate into an equation to represent the relationship:

"m varies directly with n squared and inversely with p"

Translate into an equation to represent the relationship:

"n varies inversely as the square root of m and directly with p"

If c varies inversely with b and c = 4.75 when b = 38, find c when b = 50.

(enter your answer as a fraction or rounded to the hundreths place)

If c varies jointly as a cubed and b squared and c = 25.6 when a = 2 and b = 4, find c when a = 4 and b = 7.

enter your answer as a decimal rounded to the tenths place

The cost to print fliers for the opening of an art show varies directly with the number of copies. If it cost $45 to print 750 copies, what will be the total cost for 870 copies?

input your answer with as dollars and cents (like you would normally see it shown!!)

The time it takes to fill a water tank varies inversely with the water rate of the hose. At 8 gallons per minute, a hose can fill the tank in 45 minutes. How long will it take to fill the same tank at 15 gallons per minute?

enter the number only (no units)

Find the quotient:
Give your answer in simplest form.

Solve:
input your answer using set notation

Solve:
input your answer using set notation