Respuesta :

Given:

Eighteen 2.5 gallon buckets are needed to fill a cistern with water.

To find:

The constant of variation.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

Where, k is constant of variation.

In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

[tex]w\propto n[/tex]

[tex]w=2.5n[/tex]        (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.

Answer:

45

Step-by-step

I just did 18 * 2.5!

It a simple answer!

The quantites are inversely so that means you multiply the numbers. Like 18 * 2.5. That's how I got 45