Question

The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below:. . 2|x − 6| + 14 = 38. . What are the minimum and maximum temperatures for this day?

Answer 1

To obtain the minimum and maximum temperatures (x) for Lollypop Town, the equation can be simplified to obtain the missing variable:

2|x - 6| + 14 = 38
2|x - 6| = 38 - 14
2|x - 6| = 24
|x - 6| = 12

Simplifying |x-6| = 12 can be done in two ways:

A.)
|x - 6| = 12
x - 6 = 12
x = 18 (maximum temperature)

B.)
|x - 6| = 12
x - 6 = -12
x = -6 (minimum temperature)