The total calories burned per hour while sleeping varies and is modeled by the equation |x−79|=12 . Which number in the equation represents the calories burned per hour?(1 point)

Answer 1

In the equation \(|x - 79| = 12\), \(x\) represents the total calories burned per hour while sleeping.

To understand why, let's break it down:

• The equation can be interpreted as "the absolute difference between \(x\) and 79 is 12."
• This means that \(x\) can be 12 more than 79 or 12 less than 79.

So, the numbers in the equation allow us to find \(x\) (the calories burned per hour) that are either:

1. \(x - 79 = 12\) → \(x = 91\) calories per hour, or
2. \(x - 79 = -12\) → \(x = 67\) calories per hour.

Thus, \(x\) is the variable representing the total calories burned per hour while sleeping.