If x varies directly as y, and x=42 when y=6, find x when y=9.

Q: "Y varies directly as x". If y = 2 when x = 10, find x when y 7.

A: We are given that y varies directly as x

Q: If y varies directly as x, and y 7 when x= 5, find y when x= 10.

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

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Q: For x = 0.5, find the absolute and %3D relative error in the calculation

A: In this question, we find the approximate value and error by using the given expansion formula.

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: Suppose that M varies directly as z, and M = 120 when z =15. Write an equation that expresses this…

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Q: If y varies directly with x and y is 12 when x is 9, what is x when y is 4?

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Q: y varies directly as z and y = 192 when z = 16. Find y when z is 13.

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Q: If y varies directly with x and x = 23 when y =16.1, find y when x =9.

A: We have to find y

Q: If xy+y^3= 1, Find  the value of y" at the point where x=0

A: To find the value of y at x=0, substitute 0 for x in the equation xy+y3=1 and simplify.…

Q: (11 Suppose that y varies directly with x. When x = y = 30. Find y when x 7. 5, %3D

A: Two variables x and y are given. Among these variables, y varies directly with x. From this direct…

Q: y varies inversely as x. If x = 5 then y = 3. Find yy when x = 2.

A: varies inversely mean 1variablesthe inital statement is y∝1x

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 varies directly with x, and y=9 when x=18. Find y when x=10

A: Suppose that y varies directly with x, and y=9 when x=18. Find y when x=10

Q: Differentiate y=2x/e^x

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Q: It is given that y varies directly as x². When x = 4, y = 64. (a) Express y in terms of x. (b) Find…

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Q: (a) If y varies directly with x2 and y = 144 when x = 4, find an equation to represent this…

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Q: Assume that y varies jointly with x and the square root of z. f  y=30 when x=3 and z=25, then find…

A: Given y varies jointly with x & square revt at Z .If y = 30 when x = 3 & z = 25 .We have…

Q: Which is the direct linear variation equation for the relationship y varies directly with x and y=10…

A: Given query is to find the direct linear relationship between x and y.

Q: Suppose y varies inversely as x and we know that y = 3 when x = 9. Find the value of y when x = 54.…

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Q: If y varies jointly as x and z, and if y = 18 when x = 8 and z = 9, find y when x = 5 and z = 12.

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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: 1. If y varies indirectly as z, and y = 3 when a = 4, what is y when z = 6? y = 2 y = 1 y = 4 y = 3

A: The solution is given below :

Q: Suppose y varies directly as x. if y= 3 when x = y 5. 15, find x when

A: y varies directly as x. Therefore y = kx ( where k is constant) Given that y = 3 when x= 15.…

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

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Q: If y varies directly as x and z, and y = 105 when x = 7 and z = 5, find y when x = 10 and z = 2. %3D…

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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: t y varies directly with the cube of x, y = 250 when, x=5 find (a) y when x=8…

A: it is given that,  y varies directly with the cube of x ⇒y∝x3

Q: y varies directly with x and indirectly with z. If y =9, when x=12 and z=4, find y when x=28 and…

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Q: Suppose y varies directly as x, and y = 9 when x = 3/2. Find y when x = 1.

A: Given: y varies directly as x and y=9 when x=32. To find y when x=1. Solution: Given y varies…

Q: If y varies directly with x and y =5 when x= 3, what is y when x= 9

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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: 4. Let c vary directly as d. If c = 210 when d = 35, what is the equation of variation?

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Q: If z varies jointly as x and y. If z =3 when x = 3 and y = 15, find z when x = 6 and y = 9.

A: WE are given that z varies jointly with x and y which mean  z = kxy or  k=zxy

Q: y varies directly as x, and y = 10 when x = 2.5. Find y if x = 18. %3D %3D y varies directly as ,…

A: Given y varies directly as x and y=10 when x=2.5 we find y it x=18 Now y varies directly as x…

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: Suppose that y varies jointly with w and x and inversely with z and y= 400 when w = 25, and z = 5.…

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

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Q: 13. If y varies directly as x and y = 4 when x = -2, find y when x = 30. O A. 4 15 O B. 60

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Q: Y varies directly as x". If y=3 when x = 24, find y when x = 10.

A: "y varies directly as x" so thaty∝x so y=kxif y=3 Then x=24=3=k.24=k=18

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: Find the value of y for a given value of x, if y varies directly with x. If y = -252 when x = 84,…

A: Given,            y varies directly with x. y=-252 when x=84.To find : The value of y when x=74.

Q: y varies directly as the of R. If y is 7 when R is 6, find y when R is 24.

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

A: We have to find the value of constant of variation if y varies directly as x and inversely as z and…

Q: Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15? %3D Be sure to…

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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…

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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.