Delaney wants to sell her bicycle. the original price of the bike was $150. the bikes value has changed by -2/5 of the original price. What is the current value of the bike?

$375

$60

$90

$149.60

1 answer

To find the current value of Delaney's bicycle, we first need to calculate the change in value based on the original price of $150 and the change factor of -2/5.

  1. Calculate the amount of the change in value: \[ \text{Change in value} = \text{Original price} \times \left(-\frac{2}{5}\right) = 150 \times \left(-\frac{2}{5}\right) \] \[ = 150 \times -0.4 = -60 \]

  2. Now, subtract the change from the original price to find the current value: \[ \text{Current value} = \text{Original price} + \text{Change in value} = 150 + (-60) = 150 - 60 = 90 \]

Therefore, the current value of the bike is $90.