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Answered

Find the constant of variation and the equation of variation, given that y varies inversely as x

1.y=16 when x=2
2.y=10 when x=4
3.y=25 when x=3/5​

Sagot :

Keltango

Answer:

1. y = 16, x = 2

(a) Find the k

y = k/x

16 = k/2

k = 32

(b) Substitute the k to the first equation

y = k/x

y = 32/x

1. y = 10, x = 4

(a) Find the k

y = k/x

10 = k/4

k = 40

(b) Substitute the k to the first equation

y = k/x

y = 40/x

3. y = 25, x = 3/5

(a) Find the k

y = k/x

16 = k/(3/5)

k = 16 × (3/5)

k = 48/5

(b) Substitute the k to the first equation

y = k/x

y = (48/5)/x or y = 48/5x

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