Z varies jointly as x and y

    • [PDF File]EXPLORING DATA AND STATISTICS Inverse and Joint Variation - PC\|MAC

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      The variables xand y vary inversely, and y = 8 when x= 3. a.Write an equation that relates xand y. b.Find ywhen x= º4. SOLUTION a.Use the given values of xand y to find the constant of variation. y = x k Write general equation for inverse variation. 8 = 3 k Substitute 8 for y and 3 for x. 24 = k Solve for k. The inverse variation equation is y ...

    • [PDF File]6.5 Practice Answers Inverse and Joint Variation

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      The variable z varies jointly with x and y. Use the given values to write an equation relating x, y and z. Find z when x = 4 and y=7. 18. x = —,z = 24 19. x=ΕΎ, y = 18, z = 9 17. 20. x = 3.y= 5, z = 30 Boyle's Law states that for a constant temperature, the pressure o po a gas varies inversely wit its vo me.

    • [PDF File]Direct, Inverse, and Joint Variation Notes and Examples - Maite Space

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      If y varies inversely as x and y =14 when x =3, find x when y =30. Joint y =kxmzn There are more than two quantities related; may also be combined with indirect variation. z varies jointly as x and the square of y and inversely as w. If z =25 when x =10, y =2,and w=8, determine an equation and find the value of z when x =12, y =2.5,and w=10 ...

    • [PDF File]Algebra II Honors Direct and Inverse Variations - SchoolNotes

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      z varies jointly as x and y. If z = 12 when x = 9 and y = 4, what is z when x = 7 and y = 2? 6. z varies directly as x and inversely as y. If z = 6 when x = 4 and y = 5, what is z when x = 8 and y = 3? 7. Once the brake is applied, the distance, d, it takes to stop a car is directly proportional to the

    • [PDF File]If two variables are related to Section 2

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      5 expl 5: Find the variation constant and the equation of variation for the given situation. y varies jointly as x and z and inversely as w, and y = 14 when x = 3, z = 2, and w = 2 expl 6: The kinetic energy K of a moving object varies jointly with its mass m and the square of its velocity v.An object with a mass of 25 kilograms that is moving with a velocity of 10

    • [PDF File]Joint and Combined Variation - Unbound

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      Joint Variation The variable y is said to vary jointly as x and z if y=kxz. In the equation y=kxz, k is the constant of variation. Example: y varies jointly as x and z, and y = 54 when x = 2 and z=9.

    • [PDF File]EXAMPLE 5 Write a joint variation equation - Boxcar Challenge

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      The variablez varies jointly withx and y. Use the given values to write an equation relatingx, y, andz. Then findz whenx 522 andy 5 5. 9.x 5 1,y 2, z 7 10. x 5 4, y 523, z 24 11. x 522, y 5 6, z 18 12. x 526, y 4, z 5 56 Write an equation for the given relationship. 13. x varies inversely withy and directly with w. 14. p varies jointly withq ...

    • [PDF File]1.7 Practice - Variation

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      1. c varies directly as a 2. x is jointly proportional to y and z 3. w varies inversely as x 4. r varies directly as the square of s 5. f varies jointly as x and y 6. j is inversely proportional to the cube of m 7. h is directly proportional to b 8. x is jointly proportional with the square of a and the square root of b 9. a is inversely ...

    • [PDF File]Lesson 9-1 Inverse Variation direct variation say that y varies ...

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      Given y varies inversely as x. Write a variation function when So: and our inverse variation function is? Determine if the relationship between the values is direct variation, inverse variation or neither. Write an equation if possible. x 2 4 6 y 3.2 1.6 1.1 x 0. 8 0.6 0.4 y 0.9 1.2 1.8 x 2 5 8 9.5

    • [PDF File]Lesson Practice B 5.1 For use with the lesson “Model ... - Schoolwires

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      True. If y 5 a} x2 and x is replaced with 2 , you have y 5 a} (2x)2 5 a} 4x2 3. True. If y varies directly with x, then y 5 ax, so x 5 1} a y. So, x varies directly with y. 4. False. z will decrease when y > 0 and will increase when y < 0. 5. w varies jointly with x and y, and inversely with the square root of z. x 5 1} a p wÏ} z } y; x varies ...

    • [PDF File]Algebra II Worksheet 10B Combined Variation - Mr. Buck's Math Classes

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      4. y varies directly as x2 and inversely as z. If y = 12 when x = 2 and z = 7, find y when x = 3 and z = 9. 5. A varies jointly as b and h. If A = 16 when b = 2 and h = 8, find A when b = 8 and h = 16. 6. y varies jointly as x and z. If y = 6 when x = 3 and z = 9, find y when x = 4 and z = 36. 7. 2y varies jointly as 3x and z . If y = 3 when x ...

    • [PDF File]1.10 Mathematical Modeling and Variation

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      A company has found that the demand for its product varies inversely as the price of the product. When the price is $2.75, the demand is 600 units. Write an equation relating demand d and price p. Approximate the demand when the price is $3.25 x Joint Variation: z = kxy implies that z varies jointly as x and y or that z is jointly proportional ...

    • [PDF File]Joint and Combined Variation Practice Problems - JCHSUNDERWOOD. weebly.com

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      2) If y varies jointly as x and z, and y = 33 when x = 9 and z = 12, find y when x = 16 and z = 22. 3) If a varies jointly as b and the square root of c, and a = 21 when b = 5 and c = 36, find a when b = 9 and c = 225. 4) For a given interest rate, simple interest varies jointly as principal and time. If

    • [PDF File]Model Inverse and Joint Variation - San Juan Unified School District

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      The variable z varies jointly with x and y. Also, z = —75 when x = 3 andy = —5. Write an equation that relates x, y, and z. Then find z when x = 2 and y = 6. Solution STEP 7 STEP 2 STEP 3 STEP 4 Write a general joint variation equation. Use the given values of z, x, and y to find the constant of variation a. -75 = -75 = Substitute —75 for ...

    • [PDF File]www.lcps.org

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      The variable z VARIES JOINTLY with x and y. Use the given values to write an equation relating and z. Then find z when x = — 3 and y = 4 14. 16. -36 x = 4, y = 3, z = 24 15. Z = g (sq) = -59 ... Y varies directly with square root of x and inversely with z2 19. The volume of gas in a container varies inversely with the amount of pressure.

    • [PDF File]Solving Linear Equations - Variation

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      1. c varies directly as a 2. x is jointly proportional to y and z 3. w varies inversely as x 4. r varies directly as the square of s 5. f varies jointly as x and y 6. j is inversely proportional to the cube of m 7. h is directly proportional to b 8. x is jointly proportional with the square of a and the square root of b 9. a is inversely ...

    • [PDF File]Z P Mathematics

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      2. x varies jointly as y and z and x = 63 when y = 3 and z = 7. Find z when x = 210 and y = 14. 3. x varies jointly as y and z and x = 152 when y = 19 and z =4. Find x when y = 14.5 and z = 12. 4. Find the equation of the variation where a varies jointly as b and c, and a = 330 when b =6 and c = 5. 5. The weight W of a cylindrical metal varies ...

    • [PDF File]Z P Mathematics

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      If y varies directly as the product of x and z, that is, if there is a constant k such that y = kxz or k = , then y varies jointly as x and z. Illustrative Examples 1. Find the equation of the variation where a varies jointly as b and c, where a = 90 when b =3 and c = 10. Solution: The relation a varies jointly as b and c is translated to a = kbc.

    • [PDF File]Joint Variation - PAUL JOREL R. SANTOS - Home

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      1. If z varies jointly as x and y, zis 2 when =4 and =3. What is zif =8and =6? 2. The area A of a triangle varies jointly as its base b and height h. The area is 100sq. units when the base is 10units and the height is 20units. What is the base if the area is 200 sq units and the height is 25 units?

    • [PDF File]Calculus 4.3: Rational Equations, Inequalities, Models, and ... - Quia

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      e: Suppose y varies jointly as x and z. Find y when x = 8 and z = 3, if y = 16 when x = 2 and z = 5. f: Suppose y varies jointly as x and z. Find y when x = 10 and z = 5, if y = 12 when x = 8 and z = 3. Solve the problem. 22) If f varies jointly as q 2 and h, and f = 96 when q = 4 and h = 3 , find q when f = 40 and h = 5 . 23) Suppose y varies ...

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