Final answer:
To calculate the future monthly food cost with inflation, multiply the current cost by (1 + inflation rate) raised to the number of years. For a 3% inflation over 4 years on a $897.20 expense, the future cost is approximately $1009.27.
Step-by-step explanation:
The question is asking us to calculate the expected monthly food expense for a typical family of four if there is a 3% rate of inflation per year over the next 4 years. The formula for calculating the future cost after accounting for inflation is the current cost multiplied by (1 + the rate of inflation) raised to the number of years.
Let's use this formula step by step:
- Current monthly food cost: $897.20.
- Annual inflation rate: 3% or 0.03.
- Number of years: 4.
- Future cost calculation: $897.20 * (1 + 0.03)^4 = $897.20 * 1.1255 = $1009.27 (rounded to the nearest cent).
Therefore, the expected monthly food cost for a family of four, 4 years from now, would be approximately $1009.27.