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 in 2020: \( P_{2020} = 800 \) - Price 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 in price:** - The percentage change 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 \[ \Delta P = 750 - 800 = -50 \] ### Step 2: Calculate the percentage change \[ \text{Percentage Change} = \left( \frac{-50}{800} \right) \times 100 \] Now, I will calculate the percentage change. Calculate the value by following steps: - step0: Calculate: \(\left(\frac{-50}{800}\right)\times 100\) - step1: Divide the terms: \(\left(-\frac{1}{16}\right)\times 100\) - step2: Remove the parentheses: \(-\frac{1}{16}\times 100\) - step3: Reduce the numbers: \(-\frac{1}{4}\times 25\) - step4: Multiply: \(-\frac{25}{4}\) The percentage change in the price of iPhones from 2020 to 2022 is: \[ \text{Percentage Change} = -6.25\% \] ### Summary: - The price of iPhones decreased by \( \$50 \) from 2020 to 2022. - This represents a percentage decrease of \( 6.25\% \).