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DIRECTION: SOLVE FOR THE CONSTANT OF VARIATION (k) AND THE EQUATION OF VARIATION

1. z varies jointly as x and y and z = 36 when x = 3 and y = 2
2. z varies jointly as x and y. z = 60 when x = 3 and y = 4
3. z varies jointly as x and y. z = 3 when x = 3 and y = 15
4. z varies jointly as x and y and z = 60 when x = 5 and y = 6​

Sagot :

MissJindySummeridn

Answer:

1. k = 6

2. k = 5

3. k = 3/45

4. k = 2

Step-by-step explanation:

1. z varies jointly as x and y and z = 36 when x = 3 and y = 2

z = kxy

z = 36, x = 3, y = 2

36 = k • 3 • 2

36 = k • 6

36/6 = k

6 = k

=====

2. z varies jointly as x and y. z = 60 when x = 3 and y = 4

z = kxy

z = 60, x = 3, y = 4

60 = k • 3 • 4

60 = k • 12

60/12 = k

5 = k

=====

3. z varies jointly as x and y. z = 3 when x = 3 and y = 15

z = kxy

z = 3, x = 3, y = 15

3 = k • 3 • 15

3 = k • 45

3/45 = k

=====

4. z varies jointly as x and y and z = 60 when x = 5 and y = 6

z = kxy

60 = k • 5 • 6

60 = k • 30

60/30 = k

2 = k

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