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?

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)