Answer:
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].
Step-by-step explanation:
From Physics we understand that conversions are represented by the following linear equation:
[tex]u' = r\cdot u[/tex] (1)
Where:
[tex]u[/tex] - Original value, measured in original unit. (pounds)
[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)
[tex]u'[/tex] - Final value, measured in final unit. (gallons)
If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:
[tex]A = \frac{W}{8.34}[/tex]
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].