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?

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?

anonymous · Answer

Answer: Subtract 14 from both sides, 

2|x - 6| + 14 - 14 = 38 - 14 

2|x - 6| = 24 

Divide both sides by 2, 
[ 2|x - 6| ] / 2 = 24 / 2 
|x - 6| = 12 
-12 = x - 6 = 12 
-12 = x - 6 
-12 + 6 = x 
-6 = x 
x - 6 = 12 
x = 12 + 6 
x = 18 
x = -6, 18 

The minimum T = -6oC 

The maximum T = 18oC 

[ x = −6, x = 18 ]