Delaney wants to sell her bicycle. The original price of the bike was $150. The bike's value has changed by - 2/5 percent of the original price. What is the current value of the bike?(1 point)

1 answer

To find the current value of Delaney's bicycle after a decrease of \(-\frac{2}{5}\) percent of the original price, we can follow these steps:

  1. Determine \(-\frac{2}{5}\) percent of the original price: \[ \text{Original Price} = 150 \] \[ -\frac{2}{5}%\text{ of }150 = \left(-\frac{2}{5} \div 100\right) \times 150 \] \[ = -\frac{2}{500} \times 150 = -\frac{300}{500} = -0.6 \]

  2. Subtract this amount from the original price to find the current value: \[ \text{Current Value} = \text{Original Price} + \text{Change} \] \[ = 150 - 0.6 = 149.4 \]

Thus, the current value of the bike is $149.40.