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?

x = −9, x = 21

x = −6, x = 18

x = 6, x = −18

No solution

Answer 1

x=-6 x=18 is the answer

Answer 2

2|x − 6| + 14 = 38
sub 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 ]
hope this helps