Question

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

Answer 1

a)y=5x

b)60

Explanation:

it just is

Answer 2

a) y = 5x

b) y = 60

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