Question

The temperature of a refrigerator is 38°F give or take 2º.

a. Write an equation to find the maximum and minimum temperatures of the
refrigerator.

b. Solve the equation to find the maximum and minimum temperatures of the
refrigerator.

Answer 1

Using the absolute value function, we have that:

a. The equation is: |x - 38| = 2.

b. The minimum temperature is of 36 ºF and the maximum temperature is of 40 ºF.

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 the temperature and 38 ºF can be of at most 2 ºF, hence the absolute value equation is:

|x - 38| = 2.

The minimum and maximum temperatures, in ºF, are given, respectively, by:

• x - 38 = -2 -> x = 36.

• x - 38 = 2 -> x = 40.

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

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