Question

When y is inversely proportional to x. When y = 80 x= 3 find out x when y = 24

Answer 1

x = 1

Explanation:

The standard equation for a inversely proportional relation is:

y = k/x

We can use the given (x, y) point, (3, 80), to find the value of k.

y = k/x

80 = k/3

k = 80 × 3

k = 240

Now we can write the equation using the value we found for k.

The inversely proportional relation is:

y = 240/x

We now let y = 24 and solve for x.

y = 24/x

24 = 24/x

24x = 24

x = 1

Answer: x = 1