Question

Eighteen 2.5 gallon buckets are needed to fill a cistern with water. Find the constant of variation. Please help! Thank you!

Answer 1

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

Answer 2

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

`y\propto x`

`y=kx`

Where, k is constant of variation.

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

`w\propto n`

`w=2.5n` (Capacity of each bucket is 2.5 gallons)

Therefore, the constant of variation is 2.5.