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 over the two years and the percentage decrease. ### Step 1: Calculate the change in price The change in price can be calculated as: \[ \Delta P = P_{2022} - P_{2020} \] ### 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: \[ \Delta P = 750 - 800 \] 2. Calculate the percentage decrease: \[ \text{Percentage Decrease} = \left( \frac{\Delta P}{800} \right) \times 100 \] Let's compute these values. 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: \(-\frac{25}{4}\) Calculate or simplify the expression \( 750 - 800 \). Calculate the value by following steps: - step0: Calculate: \(750-800\) - step1: Subtract the numbers: \(-50\) ### 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 there was a decrease of \( 6.25\% \) in the price of iPhones from 2020 to 2022. ### Summary - Price in 2020: \( \$800 \) - Price in 2022: \( \$750 \) - Change in price: \( -\$50 \) - Percentage decrease: \( 6.25\% \)