Question

I need help with only C.

4.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:

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

Answer 1

@welshfella

Answer 2

@hybrik

Answer 3

@mathmate

Answer 4

for c, plug your answer for B into either of the equations from A. If you got the right answers for A and B, you'll get the same no matter which equation you used.

Answer 5

for b I put 14 years @peachpi

Answer 6

what were the equations for a?

Answer 7

@peachpi
y=800(.95)^x y=50(1.115)^x

Answer 8

I'm assuming you meant 1.15 for the 2nd one.
ok so if you graph both of those on desmos, you get an intersection point as (14.5, 380). Because it's an exponential function rounding to 14 gives a really big error when you plug it in. To do it analytically, plug in 14.5 for x into either equation and you'll get 380

Answer 9

oh yes i meant 1.15

Answer 10

ok hold on let me calculate it

Answer 11

First equation-380.26
Second equation-379.39

Answer 12

So is this the answer to c

Answer 13

yes

Answer 14

K thanks for helping me with basically the whole project

Answer 15

you're welcome