Question

A certain forest covers an area of
4500km2
. Suppose that each year this area decreases by
8%
. What will the area be after
9
years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answer 1

@BloomLocke367

Answer 2

well, it decreases by 8% in one year.. you need to find out how much it decreases in 9 years.. so you need to make a proportion

Answer 3

the explanation has like an entire page of steps to take to get the answer but I feel like there is a simpler way to write the equation =o

Answer 4

I have something along the lines of 4500 - (8% *9)

Answer 5

ehhh, not quite.

Answer 6

let's just find the percent for 9 years first

Answer 7

which would be 0.08 * 9 right?

Answer 8

yes

Answer 9

mmk that's 0.72

Answer 10

now you have to find out what is 72% of 4500

Answer 11

3240

Answer 12

yes, now subtract that from your initial amount

Answer 13

1260

Answer 14

yepyep!

Answer 15

oops XD I only meant for that to be there once

Answer 16

lol it's ok thank you =)

Answer 17

you're welcome!

Answer 18

they say the answer is actually 2125 =/

Answer 19

how? hang on..

Answer 20

no idea the explanation is long and a little all together I prefer my explanations spread out in like a organized step by step kinda format hahaha

Answer 21

ummm can you put it here?.. I'll read over it and find the error and explain it to you

Answer 22

hold on I'll try

Answer 23

oh well it's easier if I post it then edit it because it messes up the equations and what not when I copy and paste

Answer 24

or not it's to long.. maybe I'll just type out the equation in order of how they put it and see what you think

Answer 25

okay

Answer 26

it starts off talking about the percent of the previous years area.
4500 * 0.92
(4500 * 0.92) * 0.92 = 4500 * 0.92^2
(4500 * 0.92^2) * 0.92 = 4500 * 0.92^3
4500 * 0.92^t
4500 * 0.92^9 = 2124.72
2125

Answer 27

where did the 0.92 come from?

Answer 28

The area that the forest covers decreases by
8%
each year.
This means that the area is
92%
of the previous year's area.

Answer 29

I'm not entirely sure how that works

Answer 30

ahhhh that makes sense.

Answer 31

I'm sorry for helping you in the wrong way

Answer 32

i'm glad because i don't get it lol

Answer 33

and oh no ! it's ok! lo;

Answer 34

lol* I'm just grateful for the help

Answer 35

okay... well I'm not sure how to explain what the explanation means.. sorry :/

Answer 36

it's ok =) thank you anyways! =)

Answer 37

you're welcome :)