To determine which statement correctly explains Karina's solution, we need to solve the equation [tex]\( 116y = 96.28 \)[/tex] for [tex]\( y \)[/tex]. Follow these steps:
1. Understand the Equation:
- The given equation is [tex]\( 116y = 96.28 \)[/tex], which indicates that 116 units at the cost of [tex]\( y \)[/tex] per unit total [tex]$96.28.
2. Isolate \( y \):
- To find \( y \), we need to isolate it by dividing both sides of the equation by 116.
3. Divide Both Sides:
- \( y = \frac{96.28}{116} \).
4. Calculate \( y \):
- When you divide 96.28 by 116, the result is \( y = 0.83 \).
5. Interpret the Result:
- This means that the cost of natural gas is $[/tex]0.83 per unit.
Thus, the correct statement is:
- The cost of natural gas is \$0.83 per unit.
