Question

A certain forest covers an area of 2500km^2. Suppose that each year this area decreases by 35%. What will the area be after 7 years?

Answer 1

The area of the forest will be approximately 122.18 km² after 7 years.

Step-by-step explanation:

To find the area of the forest after 7 years, we need to calculate the area after each year and subtract 35% from the previous year's area.

Starting with an initial area of 2500 km², after 1 year the area would be 2500 - (35% of 2500) = 1625 km².

Continuing this calculation for the remaining 6 years:

Year 2: 1625 - (35% of 1625) = 1056.25 km²

Year 3: 1056.25 - (35% of 1056.25) = 685.16 km²

Year 4: 685.16 - (35% of 685.16) = 445.84 km²

Year 5: 445.84 - (35% of 445.84) = 289.67 km²

Year 6: 289.67 - (35% of 289.67) = 188.21 km²

Year 7: 188.21 - (35% of 188.21) = 122.18 km²

After 7 years, the forest will have an area of approximately 122.18 km².