Question

*14. (47) travel a round - trip plane fare from orlando, florida, to manila, philippines, during autumn costs $1689. however, the same round - trip flight during winter costs $3474. find the percent of change.

Explanation:

Step1: Find the change in cost

First, we need to find the difference between the winter cost and the autumn cost. The formula for the amount of change is \( \text{New Value} - \text{Old Value} \). Here, the old value (autumn cost) is \( \$1689 \) and the new value (winter cost) is \( \$3474 \). So the change in cost is \( 3474 - 1689 = 1785 \).

Step2: Calculate the percent of change

The formula for percent of change is \( \text{Percent of Change} = \frac{\text{Amount of Change}}{\text{Original Amount}} \times 100\% \). We know the amount of change is \( 1785 \) and the original amount (autumn cost) is \( 1689 \). So we substitute these values into the formula: \( \frac{1785}{1689} \times 100\% \). First, calculate \( \frac{1785}{1689} \approx 1.0568 \). Then multiply by \( 100\% \) to get approximately \( 105.68\% \).

Answer:

The percent of change is approximately \( 105.7\% \) (rounded to one decimal place) or \( 105.68\% \) (more precise).