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

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: y varies inversely with x. If y=4 when x=8, find y when x=2.

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Q: If y varies inversely as x2, and y = 3 when x = 10. The equation of variation is? a) Y=3/x2  b) Y=…

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Q: If v varies directly as w and v=8, when w=12, find the equation that relates v and w.

A: Givenv varies directly as w

Q: 4. y- 1125 whenx-5 5. y-, when x-4/a

A: Find your answer below

Q: If p varies inversely with q and p = 5 when q = 6 , find the equation that relates p and q

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Q: If a population of bacteria is modeled by the equation p(t) = te^−t^2 million bacteria, with t in…

A: Given, Population of bacteria is modeled by the equation, pt = te-t2  million bacteria When the rate…

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: Y varies directly as x and inversely as the square of z. Y=12 when x=50 and z=5. Find y when x=64…

A: Given: Y varies directly as x and inversely as the square of z Y=12 when x=50 and z=5     To…

Q: Find the equation of the line whose gradient is 3/2 and which passes through the point ,where P…

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Q: If y varies inversely as x, and y = 3 when x = 18, find the constant of variation k, and then…

A: Given query is to find the constant of variation between.

Q: If y varies directly as x, find the constant of variation and the direct variation equation for the…

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

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

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Q: If y varies directly with x and y = 30 when x = 5, find y if x = -3. First, find the direct…

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Q: The value of an automobile decreases each year and is described by the equation V() = 24 000(0.95)',…

A: As per Bartleby policy, I can solve only the first question

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

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Q: If y varies jointly as x and z, find y if x= 2, k = -5 and z= -3 А. 30 В. 10 С. -10 D. -30

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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

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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: 1. If y varies directly as x and y = 10 and x = 2, find the equation of variation.

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Q: If y varies inversely as x​, and y = 10 when x = 3​, find the value of y when x = 4.

A: Topic - equation and functions Given:  If y varies inversely as x, and y = 10 when x = 3   To Find:…

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: The time it takes to travel a certain distance varies inversely with the rate of speed. It takes 8…

A: Given (13) The deposited amount is directly proportional to the interest received. The deposited…

Q: If y varies directly as x and  y = 35  when  x = 3,  find the equation that relates x and y.

A: Use equation of line

Q: The cost C of steel tubing varies jointly as its length L, in feet, and diameter D, in inches. If a…

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Q: If y varies directly as x and y=15 when x=3, find the equation that relates x and y.

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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 that y varies directly with x, and y = 25 when x=-5, (a) Write a direct variation equation…

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Q: Suppose that y varies directly with x, and  y=15 when X=24.   1.) Write an equation that relates x…

A: Given that y varies directly with x  y = 15 when x = 24So we can say that ratio of y to x is…

Q: Write the equation of the line with the given information. Through (4, 3) perpendicular to h(x) = 2x…

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Q: If y varies inversely as x,  and y = 2/3 when x = 9, find y when x = 30

A: Given y varies inversely as x.  And y = 2/3 when x = 9 To find y when x = 30.

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: If y varies directly with x and y = 24 when x = -6, find y if x = -4. First, find the direct…

A: givenyαxor y=kxwhere k is any constantwhen y=24 and x=-6 then24=k(-6)k=-4

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: Select the equations that show a proportional relationship between x and y. y = 10x y = 8x - 1

A: Given, The two equations  y = 10x  and  y = 8x-1  We have to select the equation that shows a…

Q: The time t required to drive a fixed distance varies inversely as the speed r. It takes 7hr at a…

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

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

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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: 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: If y varies directly as x and  y = 10  when  x = 3,  find the equation that relates x and y.

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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: Find the variation constant and an equation of variation where y varies inversely as x and y = 2…

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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.