Question

y varies in inverse proportion to x.
When x = 12, y = 15, find the proportionality constant and write the equation for this variation.

Answer 1

Answer:

The proportionality constant is 5/4

The equation is y = (5/4)x

Step-by-step explanation:

Since y varies in proportion to x

Therefore

y = kx   ............ (1)

Where k is the proportionality constant

Given in the question

When y = 15, x = 12

Therefore putting it in the eq (1)

15 = k × 12

or k = 15/12 = 5/4

Therefore, the proportionality constant is 5/4

The equation is y = (5/3)x

Hope this is helpful.