variation

Can you please check my answers? Thanxs!

Write an equation that expresses the relationship. Use k as the constant of variation.

20. f varies jointly as b and the square of c.
-I got: f=kbc^2

22. r varies jointly as the square of s and the square of t.
-I got: r=ks^2t^2

Find the variation equation for the variation statement.
31. z varies jointly as y and the cube of x; z=96 when x=2 and y=6 (I don't understand this one. My answer choices are: a.y=2x^3y,b.y=2xy^3, c.y=-2x^3y, or d. y=-2xy^3)

Determine the constant of variation for the stated condition.
40. z varies jointly as x and y, and z=84 when x=28 and y=12.
I got: z=xy, 84=k*22*12, 84=336k, I divided both sides by 336 and I got k=84/336, but it can be reduced, so k=1/4

Solve the problem.

46. h varies jointly as f and g. Find h when f=27, g=12, and k=3.
I got: h=kfg, h=3*27*12, h=972

Write an equation that expresses the relationship. Use k for the constant of proportinality.

50. p varies directly as r and inversely as s.
-I got: p=kr/s

53. r varies directly as s and inversely as the square of t.
-I got: r=ks/t^2

Determine the constant of variation for the stated condition.

58. z varies directly as x and inversely as y, and z=2 when x=30 and y=60.
I got: z=kx/y, 2=k*30/60, I multiplied each side by 60, and got 120=30k, I divided each side by 30, and got k=120/30, it reduces to k=4

60. z varies directly as x and inversely as y, and z=4 when x=77 and y=28.
-I got:z=kx/y, 4=k*77/25, I multiplied each side by 25 and got 112=77k, I divided both sides by 77, and got k=16/11.

Solve the problem.

66. y varies jointly as a and b inversely as the square root of c, y=24 when a=6,b=4, and c=49. Find y when a=2, b=5, and c=16.
-I got: y=kab/ sqrt of c, y=2*5/ sqrt of 16, y=10/4, which reduces to y=2.5

  1. 👍
  2. 👎
  3. 👁
  1. they are all right! Good job

    1. 👍
    2. 👎
  2. If y is directly proportional to x3 and y = 17 when x = 7, find y if x = 5. (Round off your answer to the nearest hundredth.)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    4. Which equation represents a proportional relationship? a) y=1/2x b) y=2x-2 c) y=x+1 d) y=3x+3 5. Which points are part of the graph for the previous question's equation showing a proportional relationship? this is a select all

  2. Math

    Study the equation below. 25=2x+3 Which equation has the same solution? Answers: A. 28=2x B. 22=2x C. 50=x+3 D. 25/2=x+3 My answer is B. 22=2x. Please check if I am right. Thank you!

  3. Algebra

    Please check my answers I don't need for you to give me answers just say yes or no if they are all correct TY 1. X-6=8 A. X=-2 B. x=2 C. X=-14 D. X=14🔹🔹🔹 4. -2c=-18 A. c=-9🔹🔹🔹? B. c=-36 C. c=9 D. c=36 5. 2/3x=6

  4. Algebra

    Write an equation that expresses the following relationship. U varies directly with the cube of P and inversely with D. In your equation,use K as the constant of proportionality.

  1. Math

    Can anyone help me? 1.Sara works in an ice cream shop. The table shows the number of hours she worked during each of the past four weeks and the amount she earned each week. Time Worked (hours) Amount Earned (dollars) (15) 127.50

  2. Math

    The following table shows a proportional relationship between w and z. w=18 and z=2. Write an equation to describe the relationship between w and z.

  3. Mathematics

    Can someone check my answers? 1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33) Yes y=2.75x Yes y=0.6875x*** Yes y=1.375x No y does not

  4. algebra

    Write an equation that expresses the following relationship. P varies directly with the cube of D and inversely with U. In your equation, use K as the constant of proportionality.

  1. Math

    The following equation expresses a relationship in terms of one variable. However, you are asked to rewrite the equation in terms of a different variable. L = 2M + 2N N = ?

  2. Algebra

    Write an equation that expresses the relationship. Then solve the equation for c. q varies jointly as c and the square of h.

  3. Math

    1. Find the slope of the line that passes through the points (-1, 2), (0, 5). 2. Suppose y varies directly with x, and y = 15 and x = 5. Write a direct variation equation that relates x and y. What is the value of y when x = 9? 3.

  4. Calculus

    Two cars start moving from the same point. One travels south at 60 mph and the other travels west at 25 mph. At what rate is the distance between the cars increasing 2 hours later? Let x = the distance covered by the south

You can view more similar questions or ask a new question.