Question

Identify as a direct variation, inverse variation or neither. If x men can build a house in y days, how do x and y vary?

Answer 1

x varies inversely with y.

Explanation:

We have been given that x men can build a house in y days.

Now, if the number of men increases then the time required to build the house will decrease.

Similarly, if we decrease the number of men then the time required to build the house will increase.

So if a quantity increases then other quantity decreases and vice versa.

Therefore,
`x=(k)/(y)`

Hence, x varies inversely with y.

Answer 2

This is an inverse variation. When the number of men is reduced, the days used to build the house increases.