1. Suppose that x and y vary inversely, and x = 11 when y = 7. Write the function that models the inverse variation. A. 4 y В. 77 y =- С. 18 y = D. y = 0.64x

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

A: It is given that ;  y varies inversely as x ⇒y∝1x

Q: Suppose that a = b. %3D What is the rate of change of a with respect to b? Select one: O a? O 3b…

A: Here given that  13a3=b  We have to find the rate of change of a with respect to b.

Q: In the electric currect flow, it is found that the resistance (measured in the units called ohms)…

A: Given that resistance offered by a fixed length of wire of a given material varies inversely as the…

Q: Suppose that y varies inversely as the square of x, and that y=5 when x=10. What is y when x=12?…

A: Given,  y varies inversely as the square of x

Q: Suppose y is inversely proportional to the square of x. Sketch a graph of this relationship for x>…

A: According to given data y=kx                                                           ..1 Now,…

Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the…

A:

Q: Suppose that y varies inversely as the square of x, and that y=5 when x=16. What is y when x=6?…

A: Given, y varies inversely as square of x              ⇒ y ∝ 1x2

Q: Which of the following statements are true about the relationships of alpha and beta type of errors?…

A: Answer :- Alpha and beta errors are inversely proportional with one another   There are main two…

Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the…

A:

Q: Suppose that y varies inversely as the square of x, and that y=4 when x=2. What is y when x=6? Round…

A: y ∝ 1x2 y = kx2 k = yx2         ............................(1)

Q: Suppose the quantity x of Super Titan radial tires made available each week in the marketplace is…

A: Given data:   The expression for the price of Super Titan radial tires is p-x2/2=48. The given rate…

Q: What is the slope of the curve corresponding to the ff. function at the point (-3, 9/2) 1= 2²-₂ y O…

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Q: Which relationship represents a function with a lesser rate of change than the function represented…

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Q: The average cost C of producing a machine is partly constant and partly varies inversely as the…

A: Let the average cost C of producing a machine be denoted by: C=a+bn where C=Cost, a= Fixed cost, b=…

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

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Q: Suppose that y is inversely proportional to the 4th power of x, and that y=18 when x=7. What is y…

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Q: Compute ? and find out if age (in years) has a relation to the blood pressure of an individual

A: Use the Excel and Perform the Regression. Followings are the Steps to perform the Regression 1) Open…

Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the…

A: Differentiate wrt t

Q: Given x = π, y = −1.Find a direct variation model that relates y and x.

A: Given: x=π ,y=-1

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

A:

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: This question is based on linear equation.As per given condition in question we form a equation.bio

Q: If x varies directly as y, and x=24 when y=8, find x when y=10

A: Given:x varies directly as y

Q: 75, If y is directly proportional to x and y = 16 when x = 4 10.

A: Given that y is directly proportional to x  y=16 when x=4 find y when x=10

Q: Plot the inversely proportional relationship given relating workers to time to make a pair of plants…

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Q: If x varies directly as y, and x=14 when y=2, find x when y=9

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Q: The number of phone calls between two cities, N, during a given time period varies the directly as…

A: The relation may be established as,   Remove the proportionality sign and replace it with a…

Q: Suppose that y varies directly with x and inversley with Z, and y=28 when x=32 and z=8. Write the…

A: Directly Proportional : If a function t is directly varies (proportional) to another function s then…

Q: Bicycle Z O Bicycle Y 30 Bicycle Y 20 Bicycle X O Bicycle X 10 O Bicycle Z 1 3. 4 Time (seconds)…

A: Here we want to know faster rate of change

Q: Suppose that y varies inversely as the square of x, and that y=2 when x=5 . What is y when x=17

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Q: 13. It is given that y is inversely proportional to the cube of x. If x is decreased by 50%, find…

A: According to the question, y is inversely proportional to the cube of x Mathematically, yα1x3. Now,…

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: Given that an increase of 3 units in t corresponds to an increase of 4 units in d.  To determine the…

Q: Suppose that y is inversely proportional to the square of x, and that y=64 when x=5. What is y when…

A: Since  y is inversely proportional to the square of xy ∝1x2y =k 1x2where k is constant

Q: Complete the following table for the function y = - -6x + 26. 26 20 14 8 1 3 Choose the correct…

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Q: Suppose that y varies directly with x, and y= 16 when x=-2.

A: Given that y varies directly with x.

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the…

A: The time taken to built the highway is directly proportional to length     t   ∝  L And inversely…

Q: suppose that x varies directly with z and z=12 when x=20 find z when x=40

A: Solution: Given that x varies directly with z .

Q: Find the constant of variation k. y varies directly as x and when, x = 9, y = 18

A:

Q: Given that height of the water in a tank is increasing at a constant rate of 3.7 cm/min, use the…

A: Rate of increasing height of the water in a tank= 3.7 cm/min, Time (in min) Height of water (in…

Q: Select the tables that show a proportional relationship between x and y.

A: Given,            Two tables shown below:        x        y        2        5        4…

Q: If x varies directly as​ y, and x=24 when y=4​, find x when y=10.

A: Given ,  x varies directly as​ y x=ky

Q: Question 2, find x A quantity x varies directly with the square of y and inversely with z. If x = 40…

A:

Q: If y varies inversely as x, and y=4 when x=12, find the constant of variation k, and then determine…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: find the constant of variation for each of the stated conditions. y varies directly as x, and y = 60…

A: To Determine:  find the constant of variation for each of the stated conditions. y varies directly…

Q: If x varies directly as y, and x=21 when y=7, find x when y=9.

A: Givenx varies directly as y

Q: find the constant of variation for each of the stated conditions. y varies directly as x, and y = 8…

A:

Q: 6. Suppose y varies directly as x, and y= 16 when x = 8. Find y when x = 16.

A:

Q: Assume that y varies directly with w and inversely as x. If y=4 when x=12 and w=8​, find y when x=16…

A: Given :  y varies directly with w and inversely as x  If y=4 when x=12 and w=8​, find y when x=16…

Q: Find the Rate of Change of the gasoline usage. Gasoline Usage 15 14 13 12 11 10 25 50 75 100 125 150…

A: The given graph between Miles driven and Gasoline tanks usages. We have to find the rate of change…

Q: Graph the line that represents a proportional relationship between d and t with the property that an…

A: Given: Proportional relation between d and t. There will be an increment of 3 units in t corresponds…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.