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Complete the table given that x varies directly as y.

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Complete the table given that x varies directly as y.

x 5 10 35 25
y 8 12 32

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We know k = x/y

5/8 = x1/12

By cross-multiplying

12(5) = 8x1

60 = 8x1

x1 = 60/8

= 7.5

We know k = x/y

7.5/12 = 10/y1

By cross-multiplying

7.5y1 = 10(12)

7.5y1 = 120

y1 = 120/7.5

= 16

We know k = x/y

10/16 = 35/y2

By cross-multiplying

10y2 = 35(16)

10y2 = 560

y2 = 560/10

= 56

We know k = x/y

35/56 = 25/y3

By cross-multiplying

35y3 = 56(25)

35y3 = 1400

y3 = 1400/35

= 40

We know k = x/y

25/40 = x2/32

By cross-multiplying

25(32) = 40x2

800 = 40x2

x2 = 800/40

= 20

x 5 7.5 10 35 25 20
y 8 12 16 56 40 32
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