Question

The city added an extra lane in each direction to the 5-lane road. Find the percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease.

a) 10% increase

b) 20% decrease

c) 10% decrease

d) 20% increase

Answer 1

The percentage change due to the addition of an extra lane in each direction to a 5-lane road is calculated as 40%, which is an increase. The correct percent of change is a 40% increase, which is not listed among the provided options.

Step-by-step explanation:

The city added an extra lane in each direction to a 5-lane road. To calculate the percent of change, you compare the change in quantity to the original quantity. The original road had 5 lanes, and 1 lane was added in each direction, making it a total of 2 extra lanes. Therefore, the change in quantity is 2 lanes.

To find the percent of change, use the following formula:
Percentage change = (Change in quantity / Original quantity) × 100%

Plug in the known values:
Percentage change = (2 / 5) × 100% = 0.4 × 100% = 40%

Therefore, the road now has 7 lanes in total, which is a 40% increase from the original 5 lanes. The correct answer is not listed among the options provided in the question.