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

Q: The quantity a varies directly with d and inversely with b and c when d=12, b=5 and c=8, a = -3.…

A:

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: Use the four-step procedure for solving variation problem to solve: y varies directly as x and…

A: Given that, y varies directly as x and inversely as the square of z so, Where k=constant

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

A:

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

A:

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

A:

Q: find the constant of variation k for the stated condition.  A varies directly as the square of r,…

A: A varies directly as the square of r,  Hence, A = kr2

Q: can you solve this? y varies directly as x. if y =10 when x = 4. What is the constant of…

A: Solution of the problem as follows

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: y varies directly as the cube of x. When x=2, then y=5. Find y when x=3.

A: Given,         y varies directly as the cube of x. When x=2, then y=5.

Q: Determine whether y varies directly with x. If so, find the constant of variation k and write the…

A: Given that y varies directly with x

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

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

A:

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:

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

A: Given

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

A:

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

A:

Q: Suppose that y varies directly with x, and y=3 when x 15. (a) Write a direct variation equation that…

A:

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

A:

Q: Use the four-step procedure for solving variation problem to solve: y varies jointly as m and the…

A: Write an equation that models the given statement.

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: y varies directly as x and y 32 when x is 4. Find the constant of variation n 128 b. 28 c.36 d. 8

A: Given that y varies directly with xLet the relation be y=kx where k is a constantGiven that y=32 and…

Q: Use the given information to find the unknown value.   y varies directly as the cube of x. When…

A: Given that, y varies directly as cube of xthen y ( directly propotional to) x3y=Kx3 ,where K is…

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

A:

Q: find the constant of variation for each of the stated conditions. A varies jointly as b and h, and A…

A: Given: A varies jointly as b and h and A=72 when b=16 and h=9. To find the constant. Solution: The…

Q: find the constant of variation for each of the stated conditions. V varies jointly as B and h, and V…

A: V varies jointly as B and himplies that as the value of either B or h increases, the value of V…

Q: The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105? 4…

A: Given if x=3, then y=21 xy=321x=17y This gives the relation between x and y.

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

A: y varies directly as the cube of x

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: 11 13 6. 15 17 10 7. 8.

A: Given table, The objective is to determine whether y varies directly with x. If so find the…

Q: Use the four-step procedure for solving variation problem to solve: y varies inversely as x. y = 12…

A: According to question, y varies inversely as x.y α 1x y = kx…

Q: Use the given information to find the unknown value.   y varies directly as the cube of x. When…

A:

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 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…

A:

Q: varies inversely with the cube of x. When x = 9, then y = 1. Find y, when x = 1?   Y = ?

A:

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

A:

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: If y varies directly as x and y = -45 when x = 10, find the constant of variation k and then…

A: Answer is mentioned below

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

A:

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: 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: F(x)= -3x2+6   rate of change 4 to 6 2 to 4 2 to 5

A: To find the rate of change for the interval 4 to 6, 2 to 4, and 2 to 5.

Q: Use the given information to find the unknown value. y varies directly as the square of x. When x =…

A: y varies directly as the square of x. So, y=kx^2Given when x=3 then y=54. Plug them to find k.k=6

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.