Question

Water flows from a kitchen faucet with a proportional relationship between the amount of time (in minutes) and the number of gallons.

If a total of 0.5 gallon of water flows out of the tap after 0.2 minute, what is the constant of proportionality?

What is the constant of proportionality?
Write your answer as a decimal.
gallons of water per minute

Answer 1

2.5

Explanation:

Let,

Constant of proportionality = x

0.5 = 0.2 × x

0.5/0.2 = x

5/2 = x

2.5 = x

Hence,

Constant of proportionality is 2.5

Answer 2

• 2.5 gallons per minute

Explanation:

Proportional relationship is determined by the equation:

• y = kx, where k is the coefficient of proportionality

We have:

• y = 0.5 and x = 0.2

Substitute the values into above equation and solve for k:

• 0.5 = 0.2k
• k = 0.5/0.2
• k = 2.5