Question

A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g (/), is proportional to the number of

seconds, t (x), that the water is running.
What is the constant of proportionality? k=-


help

Answer 1

The constant of proportionality = k = 2/5

Explanation:

• Given that a garden hose fills a 2-gallon bucket in 5 seconds.

Also given that The number of gallons, g (/), is proportional to the number of

seconds, t (x).

i.e.

g ∝ t

g = k × t

k = g / t

as

g = 2

t = 5

Thus,

k = g / t

= 2 / 5

Thus, the constant of proportionality = k = 2/5