NC.7.RP.3 3. Determine the peroent of ineresse or deoresse for \( y \), relative to \( x \)

To determine the percent of increase or decrease for \( y \) relative to \( x \), you can use the following formula: 1. **Percent Increase**: If \( y \) is greater than \( x \): \[ \text{Percent Increase} = \left( \frac{y - x}{x} \right) \times 100 \] 2. **Percent Decrease**: If \( y \) is less than \( x \): \[ \text{Percent Decrease} = \left( \frac{x - y}{x} \right) \times 100 \] ### Steps to Calculate: 1. **Identify the values of \( x \) and \( y \)**. 2. **Determine if \( y \) is greater than or less than \( x \)**. 3. **Use the appropriate formula** to calculate the percent increase or decrease. ### Example: - Let’s say \( x = 50 \) and \( y = 70 \): - Since \( y > x \), we calculate the percent increase: \[ \text{Percent Increase} = \left( \frac{70 - 50}{50} \right) \times 100 = \left( \frac{20}{50} \right) \times 100 = 40\% \] - Now, if \( x = 50 \) and \( y = 30 \): - Since \( y < x \), we calculate the percent decrease: \[ \text{Percent Decrease} = \left( \frac{50 - 30}{50} \right) \times 100 = \left( \frac{20}{50} \right) \times 100 = 40\% \] This method allows you to find the percent change of \( y \) relative to \( x \).