Answer:
12476.4 km^2
Step-by-step explanation:
If we have an area of 1700 km^2 and it decreases at a rate of 6.5% a year then, 6.5% is 6.5÷100=0.065 in decimals. Since the amount of forest area is decreasing from the original 100% by 6% each year then 1-0.06=0.94 or 94% of the forest is left every year and so:
[tex]F_{final}=F_{initial}(1+r)^t[/tex]
Where the initial forest is 1700 km^2 , the rate is r=-0.06 (negative since it's decreasing) and t is the time so t=5.
By plugging in those values we have:
[tex]F_{final}=1700(1-0.06)^5=1700(0.94)^5=12476.4km^2[/tex]
The amount of forest left after 5 years is 12476.4 km^2.
