Hi, 

A certain forest covers an area of 2100km^2. 

Suppose that each year this area decreases by 6.25%. 

As Your Instructor said:  

Take into account what happens at the close of the 1st year...

100%-6.25% = 93.75% ... it is .9375 of its size

What will the area be after 8 years?

  

 = 1253km^2  (rounding to nearest square kilometer)

Wish You the Best in your Studies. 

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!
 


The solution from the other tutor uses the formula for continuous exponential decay; that is not appropriate for the given question.


The area of the forest decreases by 6.25% per year, so the area gets multiplied by 1-0.0625 = .9375 each year.  After 8 years, the original 2100 km^2 will be reduced to


2100(0.9375)^8 = 1253 km^2


 

RELATED QUESTIONS

A certain forest covers an area of 3900 km2
. Suppose that each year this area decreases  (answered by ikleyn)

A certain forest covers an area of 2500km^2. Suppose that each year this area decreases... (answered by josmiceli)

A certain forest covers an area of 
3900
 km2
. Suppose that each year this area... (answered by Cromlix)

A certain forest covers an area of 4400 km2. Suppose that each year this area decreases... (answered by Boreal,ikleyn)

A certain forest covers an area of
2800 km2. Suppose that each year this area decreases... (answered by josgarithmetic)

A certain forest covers an area of 
4500 km2. Suppose that each year this area decreases  (answered by stanbon)

A certain forest covers an area of 3000 km^2 . Suppose that each year this area decreases  (answered by Alan3354,ikleyn)

A certain forest covers an area of 4300km^2. Suppose that each year this area decreases... (answered by josgarithmetic)

A certain forest covers an area of 2000km^2. Suppose that each year this area decreases... (answered by josgarithmetic)