Question

A wooded area in a state park has a mixture of different types of trees. There are 800 pine trees and 50 oak trees. The number of pine trees is decreasing at a rate of 5% per year. The number of oak trees is increasing at a rate of 15% per year. If these trends continue:

Write two functions to model this situation, and graph those two functions on the same coordinate grid.
During what year in the future will the park have approximately the same number of pine and oak trees?
How many of each type of tree will there be at that time?

Answer 1

for the pine trees, start with the 800 and multiply it by 0.95 ( 5% decrease ) per year
800*0.95^x

Answer 2

@KlOwNlOvE @satellite73

Answer 3

now use this method for the oak trees

Answer 4

So 800(1+0.95)^x

Answer 5

no, it's just 800*0.95^x

Answer 6

no you have to add one, thats exponential form

Answer 7

no, because if you used 800(1+0.95)^x and insert 1 in for x, you would almost double the number of pine trees, not decrease it by 5%

Answer 8

yes, however it is looking for linear and exponential growth

Answer 9

you only get exponential growth if say that the # of trees is increasing
the # of pine trees is decaying, so it's exponential decay
800*(0.95)^x

Answer 10

okay so then i just multply it by the power of x?

Answer 11

yeah, and did you get the equation for the oak trees?

Answer 12

yeah, 50(.15)^x

Answer 13

almost, remember that for exponential growth, the number inside the ( ) has to be greater than 1
what you're saying is that the 50 is decreasing by 85%

Answer 14

so 1.15

Answer 15

yeah

Answer 16

now go to desmos.com/calculator
type in the 2 equations and see where they meet

Answer 17

thanks for the help but i gotta go

Answer 18

no prob