3) A barber shop was charging \( \$ 5.87 \) for a bottle of shampoo but raised the price \( 10 \% \). The new price after the increase is \( \$ 6.46 \). Give an expression to show how the new price was calculated.

To calculate the new price after a 10% increase, you can express it as follows: \( \text{New Price} = \text{Original Price} + (\text{Original Price} \times \text{Percentage Increase}) \). In this case, that translates into the equation \( \text{New Price} = 5.87 + (5.87 \times 0.10) \). When you work through the math, you find \( 5.87 \times 0.10 \) equals \( 0.587 \), so the new price becomes \( 5.87 + 0.587 = 6.46 \). Voila! That’s how those extra cents are achieved!