Question

A certain forest covers an area of 2100 km². Suppose that each year this area decreases by 3.5%. What will the area be after 5 years

Use the calculator provided and round your answer to the nearest square kilometer.

Answer 1

Answer: 1757 km²

Explanation:

Because 3.5% = 0.035, first do 1-.035 to get .965. Then do 2100*.965*.965*.965*.965*.965 to get 1757.34027.

Answer 2

`\large\boxed{\sf \ \ \ 1757 \ km^2 \ \ \ }`

Explanation:

Hello,

I would recommend that you checked the answers I have already provided as this is the same method for all these questions, and maybe try to solve this one before you check the solution.

At the beginning the area is 2100

After one year the area will be

2100*(1-3.5%)=2100*0.965

After n years the area will be

`2100\cdot0.965^n`

So after 5 years the area will be

`2100\cdot0.965^5=1757.34027...`

So rounded to the nearest square kilometer is 1757

Hope this helps