Final answer:
To calculate the municipal grants for 2023-2025, determine the yearly increase by dividing the total increase ($15,000) over the number of increments (4), resulting in a $3,750 annual increase. Then, add this increment annually to get the projected income: $28,750 for 2023, $32,500 for 2024, and $36,250 for 2025.
Step-by-step explanation:
To project the income from municipal grants for the years 2023–2025 using a Linear Trend interpolation, we first need to calculate the yearly increase from 2022 to 2026. We have the municipal grants income for 2022 as $25,000 and for 2026 as $40,000. The difference over the four years is $40,000 - $25,000 = $15,000, which means the grants increase by $15,000 over four years.
The annual increase is therefore:
Annual Increase = Total Increase / Number of Increments
Annual Increase = $15,000 / 4 = $3,750
Now we can calculate the municipal grants for each year:
- 2023: $25,000 + $3,750 = $28,750
- 2024: $28,750 + $3,750 = $32,500
- 2025: $32,500 + $3,750 = $36,250
The projected incomes for municipal grants for the years 2023, 2024, and 2025 are $28,750, $32,500, and $36,250, respectively.