Mathematics

Question

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function that represents this situation? 15 gallons 30 gallons 45 gallons 60 gallons

2 Answer

  • the initial value of the linear function is 45 gallons.

    45gals dived by 15= 3, so it should only take 3 minutes to drain the aquarium.
  • Answer:

    The correct option is 3.

    Step-by-step explanation:

    If a linear function is defined as

    [tex]y=mx+b[/tex]              .... (1)

    Then b is the initial value of the function.

    It is given that Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute.

    It means the the remaining quantity in aquarium is

    [tex]y=45-15t[/tex]          .... (2)

    Where, t is in time.

    From (1) and (2),

    [tex]m=-15,b=45[/tex]

    It means the initial amount is 45 gallons and the quantity in aquarium is decreased by 15 gallons per minute.

    The initial value of the function is 45 gallons. Therefore the correct option is 3.

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