FIND CONSTANT OF VARIATION WORKSHEET

In each case one value is given for each of two variables that vary directly. Find the constant of variation.

Problem 1 :

x = 12, y = 3

Solution

Problem 2 :

d = 120, t = 3

Solution

Problem 3 :

y = 2, z = 18

Solution

Problem 4 :

p = 12.8, s = 3.2

Solution

Problem 5 :

t = 12, n = 8

Solution

Problem 6 :

I = 51, t = 6

Solution

Problem 7 :

s = 88, t = 110

Solution

Problem 8 :

A = 212, P = 200

Solution

Problem 9 :

r = 87, s = 58

Solution

Answer Key

1)  k = 1/4

2)  k = 1/40

3)  k = 9

4)  k = 0.25

5)  k = 2/3

6)  k = 6/51

7)  k = 5/4

8)  k = 50/53

9)  k = 58/87

The variables x and y vary directly. Write an equation that relates x and y. Then find y when x = 12.

Problem 1 :

x = -18, y = 4

Solution

Problem 2 :

x = 2/3, y = -10

Solution

The variables x and y vary directly. Write an equation that relates x and y. Then find x when y = -4.

Problem 3 :

x = -12, y = 84

Solution

Problem 4 :

x = -20/3, y = -15/8

Solution

Problem 5 :

x = -0.5, y = 3.6

Solution

Answer Key

1)  y = -(2/9)x, y is 2.67 when x = 12.

2)  y = -15x, y is -180 when x = 12.

3)  y = -7x, x is 0.57 when y = -4.

4)  y = 9/32x, x is -128/9 when y = -4.

5)  y = (-7.2)x, x is 0.56 when y = -4.

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