Question

the new number, 550, is 200 more than the original number. what is the approximate percent change?
the percent change is approximately 33%.
the percent change is approximately 55%.
the percent change is approximately 150%.
the percent change is approximately 175%.

Explanation:

Step1: Find the original number

Let the original number be \( x \). The new number 550 is 200 more than \( x \), so \( x + 200 = 550 \). Solving for \( x \), we get \( x = 550 - 200 = 350 \).

Step2: Calculate percent change

The formula for percent change is \( \text{Percent Change} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100\% \). Substituting the values, we have \( \frac{550 - 350}{350} \times 100\% = \frac{200}{350} \times 100\% \approx 57.14\% \), which is approximately 55%.

Answer:

The percent change is approximately 55% (the option "The percent change is approximately 55%").