Question

help me please I am desperate

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.
F(x) = 200(1.5) ^15x
15 = 15 Years
200 = the amount started with
1.5 = the rate of growth each year
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.
200(1.03) ^2x =200[(1.03) ^2) ^x] =200(1.0609) ^x
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.
The domain should be by 50 and the range by 2

Answer 2

that's the work I have and I need to answer...

Answer 3

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 4

I would tweak your answer to question 1. you say
***1.5 = the rate of growth each year****

write 1.5 as (1 + 0.5)
to make it more clear that the rate of growth is the 0.5 (not 1.5)
you can change 0.5 to a percent: 50/100 or 50%
the rate of growth is 50% per year.

Answer 5

ok. thank you... but I need the answer for number four

Answer 6

@phi

Answer 7

average rate of change for the snail population between years 2 and 5.

the rate of change per year is
change in number of snails divided by number of years

so you need to find the # of snails at year 5
and the # at year 2
and find the difference between those numbers

the change in years is 5-2 or 3
so divide your change in the population by 3

Answer 8

ok! thank you soooo much

Answer 9

so what would the answer be to #4 .? @clarkydances

Answer 10

@hartnn .? any idea of what the answer is for #4