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

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 ]