Iphones cost \( \$ 800 \) in 2020. In 2022, it cost \( \$ 750 \).

To analyze the price change of iPhones from 2020 to 2022, we can follow these steps: 1. **Identify the known conditions:** - Price of iPhone in 2020: \( P_{2020} = 800 \) - Price of iPhone in 2022: \( P_{2022} = 750 \) 2. **Calculate the change in price:** - The change in price can be calculated as: \[ \Delta P = P_{2022} - P_{2020} \] 3. **Calculate the percentage change:** - The percentage change in price can be calculated using the formula: \[ \text{Percentage Change} = \left( \frac{\Delta P}{P_{2020}} \right) \times 100 \] Now, let's perform the calculations step by step. ### Step 1: Calculate the change in price \[ \Delta P = 750 - 800 \] ### Step 2: Calculate the percentage change \[ \text{Percentage Change} = \left( \frac{\Delta P}{800} \right) \times 100 \] Let's calculate these values. Calculate the value by following steps: - step0: Calculate: \(750-800\) - step1: Subtract the numbers: \(-50\) Calculate or simplify the expression \( (750 - 800) / 800 * 100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(750-800\right)}{800}\times 100\) - step1: Remove the parentheses: \(\frac{750-800}{800}\times 100\) - step2: Subtract the numbers: \(\frac{-50}{800}\times 100\) - step3: Divide the terms: \(-\frac{1}{16}\times 100\) - step4: Reduce the numbers: \(-\frac{1}{4}\times 25\) - step5: Multiply: \(-\frac{25}{4}\) ### Step 1: Calculate the change in price The change in price is: \[ \Delta P = 750 - 800 = -50 \] This indicates a decrease of \( \$50 \). ### Step 2: Calculate the percentage change The percentage change in price is: \[ \text{Percentage Change} = \left( \frac{-50}{800} \right) \times 100 = -6.25\% \] ### Conclusion The price of iPhones decreased by \( \$50 \) from 2020 to 2022, which is a percentage decrease of \( 6.25\% \).