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

To analyze the price change of iPhones from 2020 to 2022, we can extract the known conditions: - Price in 2020: \( P_{2020} = 800 \) - Price in 2022: \( P_{2022} = 750 \) Now, let's calculate the change in price and the percentage decrease. ### Step 1: Calculate the change in price The change in price can be calculated as follows: \[ \Delta P = P_{2022} - P_{2020} \] ### Step 2: Calculate the percentage decrease The percentage decrease can be calculated using the formula: \[ \text{Percentage Decrease} = \left( \frac{\Delta P}{P_{2020}} \right) \times 100 \] Now, let's perform these calculations. 1. Calculate the change in price. 2. Calculate the percentage decrease. I'll proceed with these calculations. 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: \(\left(\frac{\left(750-800\right)}{800}\right)\times 100\) - step1: Remove the parentheses: \(\left(\frac{750-800}{800}\right)\times 100\) - step2: Subtract the numbers: \(\left(\frac{-50}{800}\right)\times 100\) - step3: Divide the terms: \(\left(-\frac{1}{16}\right)\times 100\) - step4: Remove the parentheses: \(-\frac{1}{16}\times 100\) - step5: Reduce the numbers: \(-\frac{1}{4}\times 25\) - step6: 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 decrease The percentage decrease is: \[ \text{Percentage Decrease} = \left( \frac{-50}{800} \right) \times 100 = -6.25\% \] This means that the price of the iPhone decreased by \( 6.25\% \) from 2020 to 2022. ### Summary - Change in price: \( -50 \) - Percentage decrease: \( 6.25\% \) If you have any further questions or need additional calculations, feel free to ask!