Respuesta :

Answer:

[tex]k = 8.35[/tex]

Step-by-step explanation:

Given

[tex]Gallons = 4[/tex]

[tex]Weight = 33.4lb[/tex]

Required

Determine the constant of variation (k)

This is calculated by dividing the weight of gallons by the number of gallon.

[tex]k = \frac{Weight}{Gallons}[/tex]

Substitute values for Gallons and Weight

[tex]k = \frac{33.4}{4}[/tex]

[tex]k = 8.35[/tex]

This means that 1 gallon weighs 8.35lb