The Amazon rainforest is gradually being destroyed by pollution and agricultural and industrial development. For simplicity, suppose that each year, 10% of the remaining forest is destroyed. Assume, also for simplicity, that the present area of the Amazon rainforest is 1,200,000 square miles.
1.a) What will the area of the forest be after 1 year of this destruction process?
1.b) What will the area of the forest be after 2 years of this destruction process?
2) Make a graph showing your results from Question 1 and continuing through 5 years of the destruction process. Include the present situation as a point on your graph.
3) Find a rule for how much rain forest will remain after X years. That is, express the area of the rain forest as a function of X.
The only thing that you need to do is Divide -2 on both sides to isolate the M. so 7/-2 M=3.5
Hey there! :)
We're trying to find the slope of the line on the graph (not given, but that's okay). We're given the points (-2, 2) and (4, 0).
Using the slope equation, we simply just have to plug our points in and boom - there's your slope!
Slope equation : m = y₂ - y₁ / x₂ - x₁
Now, using our given points, we can very simply plug everything in! :)
Now, in case you didn't know which number aligns with which variable, I'll go ahead and help you out with this.
x₁ = -2 , x₂ = 4 , y₁ = 2 , y₂ = 0
Now, let's plug and chug!
m = (0 - 2) / (4 - (-2))
Simplify.
m = -2 / 4 + 2
Simplify.
m = -2 / 6
Simplify.
m = -1/3
So, our slope is -1/3.
~Hope I helped!~
Just write I have my own problems to deal with.
