Question

halppp

Answer 1

Iris has been studying an invasive population of snails. This particular snail has no local predators, so the population grows wildly. She has observed that the population follows an exponential rate of growth for fifteen years.
1. Create your own exponential function, f(x), which models the snail population. You will need to identify the principal population of the snails and the rate of growth each year. Explain to Iris how your function shows the principal population and the rate of growth, in complete sentences.

2. A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then, explain to Iris how the key features of this local snail population compares to the key features of the invasive population.

3. Iris wants to graph the invasive snail population to show the city council. Justify what the appropriate domain and range would be for the function f(x), what the y-intercept would be, and if the function is increasing or decreasing.

4. In five years, a garden festival plans on using the park where Iris has been studying the invasive snails. Explain to the garden festival committee how to find the average rate of change for the snail population between years 2 and 5. Describe what this average rate of change represents.

Answer 2

you go to connections acemy and you are in algebra 1

Answer 3

no

Answer 4

is your teacher miss setta or miuss larkan?

Answer 5

neither

Answer 6

??

Answer 7

i had to do this same one but i had an alternate assingment on the messag eboards

Answer 8

i dont go to that

Answer 9

ok wait im helping a person that goes to connections and he doing the exact same thing

Answer 10

thats great

Answer 11

is that \(g(x) = 200(1.03)^{2x}\)?

Answer 12

yessssss

Answer 13

http://www.wikihow.com/Write-an-Exponential-Function-Given-a-Rate-and-an-Initial-Value

\(\large f(t)=P_0(1+r)^{\frac{t}{h}}\)

here \(P_0\) is the principal population/initial value

Answer 14

brb

Answer 15

.....

Answer 16

sorry I had to do things

Answer 17

okay

Answer 18

1. Create your own exponential function, f(x), which models the snail population. You will need to identify the principal population of the snails and the rate of growth each year. Explain to Iris how your function shows the principal population and the rate of growth, in complete sentences.
\(\large f(t)=P_0(1+r)^{\frac{t}{h}}\)
\(\large f(x)=100(1+0.05)^{\frac{x}{15}}\)
\(\large f(x)=100(1.05)^{\frac{x}{15}}\) here:
100 is the principal population
1+rate=1.05
rate = 0.05

Answer 19

what does that mean

Answer 20

I don't know I'm making this all up following the site's instructions

it means the principal population is the number outside the parentheses/not being multiplied by the exponential
and the rate is equal to the thing in the exponential minus 1

Answer 21

i se

Answer 22

do you really

Answer 23

no

Answer 24

oh i see

Answer 25

so here, we make up an initial population and rate of growth. I used 0,05 every 15 months with a starting population of 100

Answer 26

oh ok

Answer 27

I'll kick your shin kid

Answer 28

nooooo

Answer 29

2. A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then, explain to Iris how the key features of this local snail population compares to the key features of the invasive population.
\(n^{a*b}={n^a}^b\)
\((1.03)^{2x}={(1.03^x)}^2\) I guess you could take the square root of the function???

I'm just going to stop while I'm ahead

Answer 30

alrighhtt