Suppose y varies directly with √x. Write a general formula to describe the variation if y = 2 when x = 9.

Q: Let a varies jointly as the square of b and the 5th power of c. What is the formula?

A: It is given that, a varies jointly as the square of b and the 5th power of c

Q: In the inverse variation equation y = k/x what is the effect on x when y is doubled?

A: In the inverse variation equation  y=kx  what is the effect on x when y is doubled

Q: Suppose that y varies directly with x, and y=20 when x=32. (a) Write a direct variation equation…

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Q: Suppose the cooking time for a particular recipe varies inversely with the temperature of the oven.…

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Q: 3. Let b vary directly as a. If b = 80 when a = 20, what is the equation of variation?

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Q: Suppose M varies directly as a and that M=120 when y=16. Write an equation that expresses the…

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Q: Suppose you spent $38.25 for 3 shirts that each cost the same amount. If the cost of the shirts…

A: Answer is mentioned below

Q: Write a general formula to describe the variation y varies directly with x; y=3 when x=12

A: y varies directly with xSo, we can say y=kx , where k=constant

Q: What is the constant of variation if y varies directly as x and y=5 when x=20?

A: y varies directly as x. The value of y is 5, when x is 20.

Q: Suppose that y varies directly as the square root of x, and that y=40 when x=25. What is y when…

A: We have to find y

Q: when k=2, What is the value of d if "d varies jointly with x and z, when k-5, x-2, and z-10"?

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Q: Suppose that y varies directly with x, and y= 15 when x= 6. (a) Write a direct variation equation…

A: If x and y vary directly, y varies directly with x,y ∝ xit means y = kx, where k is the constant of…

Q: The distance, s, that a body falls from rest varies directly as the square of the time, t, of the…

A: Given: (k is a constant used to remove the proportionality sign) When s=64 feet and t= 2s value of…

Q: A certain study found that the relationship between the student’s exam scores (y) and the numbers of…

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Q: Suppose a varies directly as 2b. (a) Express a in terms of k and b. (where k is the variation…

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Q: If s varies directly as the square of t, and s = 10, what is the constant of variation?

A: To determine the constant of variation from the given data

Q: Suppose that y varies inversely with x, and y=4/5 when x=15 a)Write a inverse variation equation…

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Q: gt+*=ドg

A: If the relation between the variables x and y are given by an equation and the equation can not be…

Q: Suppose that y varies inversely as the square of x, and that y=7 when x=7. What is y when x=11?

A: We can solve the given problem using concept proportional .

Q: Suppose that y varies inversely as the square of x, and that y=7 when x=2. What is y when x=12?…

A: Here is the solution

Q: The distance, d, that a rock falls when dropped fro a cliff varies directly as the square of time,…

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Q: The time, t, required to complete a job varies inversely with the number of people, P, working on…

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Q: Suppose that y varies inversely with x, and y = 4 when .x = 3. (a) Write an inverse variation…

A: Solution of given question is written in below steps.

Q: Suppose that y varies directly as the square root of x, and that y=38 when x=81. What is y when…

A: Given,           y varies directly as the square root of x.

Q: Suppose that y varies inversely as the square of x, and that y = 8 when x = 6. Find y when x = 2.

A: Suppose y varies inversely as the square of x, where k is constant of proportionality.

Q: The number of hours worked varies inversely with the amount of money paid per hour. Bill can earn…

A: According to question given that the number of hours worked Varies inversely with the amount of…

Q: Suppose y vaires directly as x, and y=98 when x=14. Write a direct variation equation that relates x…

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Q: Suppose the value of y varies directly with x if x equals negative 2 then y equals -5 what is the…

A: Given, the value of y varies directly with x if x = -2 then y = -5

Q: The price of a bag of coffee beans, P, varies directly with the size, S, of the bag. If a 20 oz bag…

A: Given that, the price of a bag of coffee beans, P, varies directly with size, S. P∝SP=kS Therefore,…

Q: Given that y varies directly as the square root of x and y = 6 when x = 9, find the variation…

A: It is given that y varies directly as the square root of x, thus the equation formed is- y=cx where…

Q: Find the value of x if the segments cut from 25-centimeter segment are 2x + 3 centimeters and 3x – 8…

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Q: The resistance (in ohms) of a circular conductor varies directly with the length of the conductor…

A: Let R be the resistance, l be the length, and r be the radius. Given that R=10,l=50,r=6×10-3.

Q: Suppose that y varies directly with x, and y= 15 when x=24. (a) Write a direct variation equation…

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Q: 5. If A varies directly as r and A = 33 and r= 11, find the equation of variation.

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Q: Suppose that y varies directly as the square root of x, and that y=43 when x=324. What is y when…

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Q: Find a direct variation model that relates y and x. x = −28, y = 4

A: A direct variation model is of the form y=kx  Where k=constant

Q: Write a general formula to describe each variation. V varies directly with x3 ; V = 36π when x = 3

A: Given: V varies directly with x3;  V = 36π when  x = 3 To write: A general formula to describe each…

Q: If Y varies inversely as the square root of X, what happens to Y if X is decreased in the ratio…

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Q: if y varies directly as x, and y= 8 when x= 4 find y when x= 10 the constant of variation and the…

A: Given y varies directly as x Hence  y α x Hence we get y = kx , where k is a constant of variation…

Q: Find a direct variation model that relates y and x. x = 10, y = 20

A: Explanation :-  Direct Variation:- If y is directly proportional to x, then we write y = k x where k…

Q: suppose that y varies directly as the square root of x, and that y=30 when x=100. What is the y when…

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Q: Write a general formula to describe each variation. z varies directly with the sum of the cube of x…

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

Q: Write a general formula to describe each variation. y varies directly with x; y = 2 when x = 10

A: Given that y varies directly with x and y=2 when x=10. To find general formula to describe the…

Q: Find the constant of variation and the variation equation. y varies directly as the square root of…

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Q: Suppose that y varies inversely as the square of x, and that y=9 when x=14. What is y when x=9?

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Q: The value of y varies directly with x, and the constant of variation is 6. What is the value of x…

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Q: Use the four-step procedure for solving variation problem: y varies directly as x. y = 65 when x =…

A: y =K×x ; where  K is the proportionality constant  as y=65 and x =5 we got: 65=k×5 k=13

Q: Suppose that y varies directly with x, and y3D12 when x=15. (a) Write a direct variation equation…

A: 1.according to questiony α xor y=kx     where k is constantgiven y=12 and…

Q: Suppose that y varies directly with x, and y= 10 when x= 25. (a) Write a direct variation equation…

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Q: Suppose that y varies directly as the square root of x,and that y = 16 when x = 4. Find x when y =…

A: y varies directly as the square root of x.  That is, y α x⇒y=kx   →1   where k is the constant of…

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.