Amanda is volunteering at the animal shelter and has been given the job of bathing the dogs. She fills the wash basin with a mixture of hot and cold water. The cold water flows at a rate of 4 gallons per minute. The hot water fills at a rate of 3 gallons per minute. The wash basin holds a maximum of 60 gallons of water.

Let x represent the number of minutes the cold water was turned on.

Let y represent the number of minutes the hot water was turned on Write the inequality that represents the amount of hot and cold water the wash

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joaobezerra joaobezerra · Answer 1 · 2021-11-26T14:04:31+01:00

From the information given, the inequality that models the situation is:

[tex]4x + 3y \leq 60[/tex]

The cold water flows at a rate of 4 gallons per minute, hence, the amount after x minutes will be of: [tex]4x[/tex]

The hot water fills at a rate of 3 gallons per minute, hence, the amount after y minutes will be of: [tex]3y[/tex].

The total amount is the sum of these amounts, hence:

[tex]T = 4x + 3y[/tex]

It holds a maximum of 60 gallons, hence:

[tex]T \leq 60[/tex]

[tex]4x + 3y \leq 60[/tex]

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