Question

y is inversely proportional to x.
When y = 2, x = 5
Work out an equation connecting y and x.

Answer 1

Answer:

2 =1/5 x

Step-by-step explanation:

y is inversely proportional to x

y is proportional 1/x

2 is proportional 1/5

Therefore, 2= 1/5 k

Here, k= constant

Answer 2

Answer:

xy = 10

Step-by-step explanation:

We are given,

y is inversely proportional to x

when y = 2, x = 5

Now, we know that,

y ∝ (1/x)

To remove the Proportionality symbol, we put in a constant 'k',

y = k × (1/x)

y = k/x

k = y × x

k = xy

When y = 2, x = 5

So,

k = (2)(5)

k = 10

Hence,

xy = 10 gives their relation.

Hope it helped and believing you understood it........All the best