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Thermostat for a house is set to 68 degrees Fahrenheit but the actual temperature may vary by as much as 2 degrees Fahrenheit. Write and solve an equation that represents the minimum and maximum temperatures

Respuesta :

Using the absolute value function, we have that:

  • The minimum temperature is of 66 degrees Fahrenheit.
  • The maximum temperature is of 66 degrees Fahrenheit.

What is the absolute value function?

The absolute function is defined by:

  • |x| = x, x ≥ 0.
  • |x| = -x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the difference between the temperature and 68 degrees Fahrenheit is of 2 degrees Fahrenheit, hence the absolute value equation is:

|x - 68| = 2.

The minimum temperature is:

x - 68 = -2 -> x = 66.

The maximum temperature is:

x - 68 = 2 -> x = 70.

More can be learned about the absolute value function at https://brainly.com/question/24837065

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