Question

A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the

water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W

Answer 1

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is
`A = (W)/(8.34)`.

Explanation:

From Physics we understand that conversions are represented by the following linear equation:

`u' = r\cdot u` (1)

Where:

`u` - Original value, measured in original unit. (pounds)

`r` - Conversion value, measured in final unit per original unit. (gallons per pound)

`u'` - Final value, measured in final unit. (gallons)

If we know that
`u' = A`,
`u = W` and
`r = (1)/(8.34) \,(gal)/(lbm)`, then the equation is:

`A = (W)/(8.34)`

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is
`A = (W)/(8.34)`.