Camposmarkrainier4idn
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B. Find the constant of variation and write the equation representing the relationship between the given quantities, if z varies jointly as x and y.
1. z =27, x =3 and y =3
constant of variation:___
equation of variation:___

2. z =50, x 5, and y =2
constant of variation:___
equation of variation:___

3. z =60, x =2, and y =15
constant of variation:___
equation of variation:___

4. z =8, x =4, and y =3
constant of variation:___
equation of variation:___

5. z =100, x =5, and y=4
constant of variation:___
equation of variation:___

pa help po plsss


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Sagot :

KallesEliasidn

Find the constant of variation and write the equation representing the relationship between the given quantities, if z varies jointly as x and y.

1. z =27, x =3 and y =3

constant of variation: k = 3

equation of variation: z = 3xy

z = kxy

27 = k(3)(3)

27 = k(9)

27/9 = k

k = 3

2. z =50, x = 5, and y =2

constant of variation: k = 5

equation of variation: z = 5xy

z = kxy

50 = k(5)(2)

50 = k(10)

50/10 = k

k = 5

3. z =60, x =2, and y =15

constant of variation: k = 2

equation of variation: z = 2xy

z = kxy

60 = k(2)(15)

60 = k(30)

60/30 = k

k = 2

4. z =8, x =4, and y =3

constant of variation: k = 2/3

equation of variation: z = (2/3)xy

z = kxy

8 = k(4)(3)

8 = k(12)

8/12 = k

k = 2/3

5. z =100, x =5, and y=4

constant of variation: k = 5

equation of variation: z = 5xy

z = kxy

100 = k(5)(4)

100 = k(20)

100/20 = k

k = 5

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