Question

Can someone help me through this?

A certain region is losing about 15 million acres of rain forest each year.

a) find the linear function f that calculates the change in acres of rain forest in millions in x years.
b) find f(3) and interpret the result.

So..
a) f(x) =
b) f(3) =

Answer 1

The first year, the change in acres of rain forest is how much?

Answer 2

15 million

Answer 3

Right, and the next year, the change in acres of rain forest is how much?

Answer 4

the same?

Answer 5

Correct. So you can write a linear equation in the form f(x)=kx where you have to figure out what k is. So for year 1 (x=1), f(1)=15 million. For year 2 (x=2), f(2) = 15 million (for the first year) and 15 million (for the second year) or 30 million. so set your equation f(2)=30 million = 2k. What must k equal?

Answer 6

AreaRegion(t)=(RegionArea(t=0))-(15acres/year)(t) [ this a linear equation A(t)=A0-15*t]

Answer 7

is f(3)=45million?

Answer 8

Correct. What did you get for f(x)=?

Answer 9

I dont know yet :(
F3 was easier, ..LOL ..
i am 80% understasnding f(x) ...let me look at it again.

Answer 10

well, the pattern is:
f(1)=15 million = 1k
f(2)=30 million = 2k
f(3)=45 million = 3k
etc
So what must k equal for these equations to be true?

Answer 11

acres

Answer 12

k must be a numeral (but you are correct that it is the number of acres per year). Just look at these equations numerically. Numerically what must k equal?

Answer 13

ok, you are doing everything right to help me and i am just not clicking it.... grrr...
k=45?

Answer 14

f(x)=15-45 is that close to the answer?

Answer 15

The equation that we are trying to solve is in the form of \[f(x)=kx\]We know when x=1, f(1)=15 million=1k
x=2, f(2)=30 million=2k
etc. or we could rearrange the original equation f(x)=kx or\[k=\frac{f(x)}x\]In this case, we can rearrange all the equations above so that
k=f(1)/1= 15 million/1
k=f(2)/2 = 30 million/2
etc.
So what must k be?

Answer 16

135

Answer 17

k = 15 million/1 = 30 million/2 = 45 million/3......
therefor k = 15 million.
f(x)=15,000,000x

Answer 18

Does that make sense?

Answer 19

wow, I was way off ....this math is gonna be the death of me. I get SOME nd then not some. THANK YOU f or your patience. :)

Answer 20

No problem. I'm impressed that you are studying all this if you are really the mom of a teenager and a toddler. You have your hands full.

Answer 21

I have a 3 year old and a 18 yr old, I am in school full-time trying for my business degree to enhance my career for myself and my family as I work full time as well. So I do certainly have my hands full LOL ... THANK YOU AGAIN. :)

Answer 22

I have 21 year old and 18 (next month) year old and I graduated college 34 years ago so sometimes I don't remember how to do some of these problems. But I try to help. Good luck with your schooling.