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For tropical fish, aquarium water should be set to 76 degrees F with an allowance of 4 degrees. Explain how to write an absolute value equation to represent this situation. Explain the steps to solve the absolute value equation. What do the solutions represent?

Respuesta :

Using an absolute value equation, it is found that:

  • The minimum temperature of the aquarium is of 72 ºF.
  • The maximum temperature of the aquarium is of 80 ºF.

What is the absolute value function?

The absolute value function is defined by:

  • |x| = x, x >= 0.
  • |x| = x, x < 0.

It measures the distance of a point x to the origin of x = 0, which means that both -2 and 2 are 2 units from 0, hence |-2| = |2| = 2.

The difference between the temperature x and 76 ºF is of 4 ºF, hence the equation is given by:

|x - 76| = 4.

The solutions are found as follows:

  • x - 76 = -4 -> x = 72.
  • x - 76 = 4 -> x = 80.

Hence:

  • The minimum temperature of the aquarium is of 72 ºF.
  • The maximum temperature of the aquarium is of 80 ºF.

More can be learned about the absolute value function at brainly.com/question/24734454

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