Y is directly proportional to x. y= 30

x= 6

a) work out an equation connecting y and x

b) work out the value of y when x=12

a) y = 5x

b) y = 60

Step-by-step explanation:

y ∝ x

So, y = kx      (1)

Where k is the constant of proportionality

Now, y = 30, x = 6

Putting in (1)

30 = k(6)

Dividing both sides by 6, we get

k = 5

Now, Putting k=5 in (1)

So,

a) The equation connecting x and y is :

y = 5x

b) x = 12, Putting in (1)

y = (5)(12)

y = 60

nlgqer

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