A 120-gallon tank that is initially full of water is drained at a rate of 6 gallons per minute. Explain how to write and graph a linear function that models the number of gallons of water left in the tank after x minutes. Use the coordinate plane below to graph the function. Show your work.

Respuesta :

The linear function that models the number of gallons of water left in the tank is 120 - 6X = Y.

Functions

To determine a linear function that models the number of gallons of water left in the tank after X minutes, the following calculation must be performed:

  • 120 = Tank full
  • 6 = Gallons per minute
  • X = water loss
  • Y = Gallons left

120 - 6X = Y

So, for example, after 10 minutes, the equation would operate as follows:

  • 120 - 6 x 10 = Y
  • 120 - 60 = Y
  • 60 = Y

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