Question
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?
Answers
GPT-4o mini
In the equation \( |x - 79| = 12 \), the variable \( x \) represents the number of calories burned per hour while sleeping.
To solve the equation, we can break it down into two cases based on the definition of absolute value:
1. \( x - 79 = 12 \)
2. \( x - 79 = -12 \)
Solving these cases:
1. For \( x - 79 = 12 \):
\[
x = 12 + 79 = 91
\]
2. For \( x - 79 = -12 \):
\[
x = -12 + 79 = 67
\]
Thus, the possible values for the calories burned per hour while sleeping are 91 or 67.
To solve the equation, we can break it down into two cases based on the definition of absolute value:
1. \( x - 79 = 12 \)
2. \( x - 79 = -12 \)
Solving these cases:
1. For \( x - 79 = 12 \):
\[
x = 12 + 79 = 91
\]
2. For \( x - 79 = -12 \):
\[
x = -12 + 79 = 67
\]
Thus, the possible values for the calories burned per hour while sleeping are 91 or 67.