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?

Respuesta :

  • A proportional relationship exists between the amount of time (in minutes) and the number of gallons

Let's represent:

Time = T

Number of gallons = G

  • The proportionality equation is written as;

         T ∝ G

  • Introducing the constant of proportionality ' k ' into the equation

       

         

        T = kG

  • If a total of 0.5 gallons of water flows out of the tap after 0.2 minutes, the constant of proportionality is calculated as:

T = 0.2 minutes

G = 0.5 gallons

0.2 = 0.5 x k

0.2 = 0.5k

To solve for k, we divide both sides by 0.5

0.2/0.5 = 0.5k/0.5

k = 0.4

Therefore, the constant of proportionality is 0.4

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