Construct an equation of variation and find the constant of proportionality for the following situation. x is directly proportional to both y and z. Whenx 3 and y -10, z0.50. Find y when x 15 and z 5 When 15 and z-5, y-

Construct an equation of variation and find the constant of proportionality for the following situation. x is directly proportional to both y and z. Whenx 3 and y -10, z0.50. Find y when x 15 and z 5 When 15 and z-5, y-

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...

See similar textbooks

Related questions

Q: Construct an equation of variation and find the constant of proportionality for the following…

A: It is given that, x is directly proportional to y and z.

Q: Use this order-three version of variation of parameters to find the general solution: y" + 2y" – y –…

Q: assume the y varies with x. if y= -4.8 when x= -1.6, what is the constant of variation?

Q: If a 1600 foot bridge weighing 2100 tons supports 1400 tons, find the constant of proportionality k.…

A: Given:The weight a suspension bridge can support (B) = 2100 tonsBridge’s total length (l) = 1600…

Q: If y varies directly as x and y = 0.5 when x = 6, find the constant of variation k and then…

A: y ∝ xy = kxgiven that;x=6, y=0.5y=kx0.5=6kk=0.56k=112 =0.0833when x=10,y=1012=56=0.833

Q: z 36 9 h 48 10 k13 5 15 10 15 Click to show whether a proportional relationship exists between each…

A: Given: x 2 4 6 y 1 2 3 z 3 6 9 h 4 8 10 k 1 3 5 l 5 10 15

Q: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the…

Q: The variable s is proportional to t, and s = 25 when t = 75. Determine t when s = 60.

A: Given, s is proportional to t. That is

Q: h is jointly proportional to q and v. It is found that q = 9 and v = 8 when h = 3. k =

Q: he amount of juice in a grapefruit is directly proportional to the cube of its diameter. Let j…

A: To calculate the constant k and amount of juice in grapefruit with a 5-inch diameter.

Q: If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then…

A: To determine: The equation z=_____ Given information: If z is directly proportional to the product…

Q: Select the equations that show a proportional relationship between x and y. a) y = 8x b) y = 6x c) y…

Q: Y varies directly with z and the constant of variation is -5. What is the value of y when z = 2?…

Q: The distance traveled by a bus varies directly with the weather. The bus traveled 240 km in 3 hours.…

Q: find the constant of variation for each of the stated conditions. y varies directly as x and…

Q: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

Q: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the…

A: Given

Q: R varies directly as P and inversely as the square of T. If R = 30 when P = 40 and T = 2, a) Find…

A: Explanation of the answer is as follows

Q: To increase the velocity of the air flowing through the trachea when a human coughs, the body…

A: To increase the velocity of the air flowing through the trachea when a human coughs, the body…

Q: If y varies directly as x and y = 9 when x = -15, find the constant of variation k and then…

A: Given that y varies directly as x , so here we get direct variation relationship between two…

Q: Suppose that z varies jointly with the cube of x and the square of y. Find the constant of…

A: Given z varies jointly with cube of x i.e x3 of y i.e y2

Q: The volume of a fixed amount of a gas varies directly as the temperature T and inversely as the…

Q: find the constant of variation for each of the stated conditions. y varies inversely as x, and y =…

Q: Solve each of the following problems. If y is directly proportional to x, and y = 42 when x = 28,…

A: Given- If y is directly proportional to x, and y=42, when x=28. To Find- The value of y when x=38.

Q: Select the equations that show a proportional relationship between x and y. y = 7x y = 4x

Q: A woodchuck is spreading woodchips over his flowerbed. The area AA that the woodchips will cover is…

A: given:- A= k/d lenght= 40 breadth =24 k= 120

Q: In the following, y varies directly as x. Find the constant of variation and the equation of…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Construct an equation of variation and find the constant of proportionality for the following…

A: It is given that, x is directly proportional to square of y and inversely proportional to cube root…

Q: When exchanging US Dollars (USD) for Philippine Peso (PHP) the number of Philippine Pesos received…

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: Find the mathematical model for the following statement. Remember to use k as the constant of…

A: To write the mathematical model of the given condition

Q: Express the statement as a formula that involves the given variables and a constant of…

A: Two or more variables are said to be directly proportional if a change in one variable results in a…

Q: Find the constant of variation k and the undetermined value in the table if y is directly…

A: a) Given that, y is directly proportional to x. That is, y∝xy=kx where k is the constant of…

Q: Suppose that z varies jointly with the cube of x and the square of y. Find the constant of…

A: Here, give that z varies jointly with a cube of x and the square of y. That is: z=kx3y2...(1)

Q: Suppose that z varies jointly with the cube of x and the square of y. Find the constant of…

Q: Suppose that y is inversely proportional to square of x. Find the constant of proportionality k if y…

Q: Find the constant of proportionality k if y = 2 when X = 8. %3D k = Using the k from above write the…

A: Follow the procedure given below.

Q: The number of views on a social media video, v, is jointly related to the number of followers, f,…

A: To rearrange the equation to isolate f , Given : V = kfd

Q: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as…

A: Given that the volume V of a fixed amount of a gas varies directly as the temperature T and…

Q: Construct an equation of variation and find the constant of proportionality for the following…

A: Given that, x is inversely proportional to the square root of y.That is,

Q: find the constant of variation for each of the stated conditions. r varies inversely as the cube of…

A: Given that r varies inversely as the cube of t and r=116 when t=4. To find the constant of…

Q: Determine whether Y varies directly with X. if so find the constant of variation. a. y=6x b. y=-2x…

Q: Suppose that y varies directly with x, and y=2 when x 16. (a) Write a direct variation equation that…

Q: find the constant of variation for each of the stated conditions. y is directly proportional to x…

A: It is given that, y is directly proportional to x and inversely proportional to the square of z.

Q: (a) If M is inversely proportional to 7√t and M = 161 when t = 16, find an equation to represent…

A: M is inversely proportional to 7√t

Q: When blood flows along a blood vessel, the flux Fis proportional to the fourth power of the radius R…

Q: Your younger brother starts up a lemonade stand early one morning. At 1 PM, there were 70 cups left…

Q: Is y directly proportional to x? y = 14x-8x If so, give the constant of proportionality. If not,…

A: We have the given term as y=14x-8x On solving further, we get the result as y=14x-8xy=14-8xy=6x…

Q: If y is directly proportional to x, and y=42 when x=7, find the constant of proportionality and…

A: Given that y is directly proportional to x or y ∝ x. So we Can write this in other form as:

Question

Construct an equation of variation and find the constant of proportionality for the following situation.
x is directly proportional to both y and z. Whenx 3 and y -10, z0.50. Find y when x 15 and z 5
When
15 and z-5, y-

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
Find the constant of proportionality. E varies jointly with I and R. If R=25 and I=5, then E=125.
Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
Find the constant of proportionality. R is inversely proportional to the square of I. If I=25, then R=100.
If y varies directly as x and y=12 when x=4 find the equation that relates x and y.
Solve each problem. y is directly proportional to x. If y=15 when x=4, find y when x=75.
Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.