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.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

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.

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

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.
EZ! you just need to make an exponential function up - any exponential function you like. An exponential function (abstractly) is in a form of \(\large\color{black}{ \displaystyle y=a(b)^x }\) I will assume you know: \(\large\color{black}{ \displaystyle {\rm C}^0=1 }\) (for any non-zero number C)
\(\LARGE\color{black}{ \displaystyle \color{darkgoldenrod}{y}=\color{red}{a}(\color{blue}{b})^{\color{green}{x}} }\) \(\normalsize \color{black}{ \displaystyle \color{darkgoldenrod}{\rm Number~of~snalis}=\color{red}{\rm Initial~population}\cdot (\color{blue}{\rm growth~rate})^{\color{green}{\large ~\rm \text{#}~of~years }} }\)
So I just input random numbers?
yes, but a must be positive, and b>1
So that you don't end up getting a negative population.... and I would advise to choose Natural numbers for a and b.
natural numbers are: 1 , 2, 3, 4, 5, 6, 7, etc....
I'm still kind of stuck.
try to put random values for a and b (once)
Would y=10, a=5, b=2, x=2 work?
you don't need to plug in anything for x and y.
So you created a function: \(\large\color{black}{ \displaystyle y=5(2)^x }\)
Now lets explain to Iris (:O) what is what....
Ok... so how would I explain it?
Y= Number of snails a=Initial populationâ‹… b=growth rate x=number of years ?
Lets do that together. You need to explain what and why is the principal (initial) population of snails & what and why is the rate of growth of the population.
Ok, will you agree that the initial population is at year zero, or in other words when x=0?
Ok. So that would mean a = 0?
no
When x = 0
\(\large\color{black}{ \displaystyle y=5(2)^x }\) Initially (at year zero - i.e. at x=0) \(\large\color{black}{ \displaystyle y=5(2)^0 }\) \(\large\color{black}{ \displaystyle y=5(1) }\) \(\large\color{black}{ \displaystyle y=5 }\)
See why the initial/principal population (when x=0) is (equivalent to) 5 (snails) ?
So there was no increase?
There is going to be an increase as years pass by, BUT the population didn't increase right away when started.
This that we are discussing right now is just the principal population - or from what number of snails did we start.
Oh ok. I get it now. So what would be the starting number? And how would I explain my function?
I will be gone. tag someone else. (I am constructing my basement and bath)
sorry
Ok thanks for helping.

Not the answer you are looking for?

Search for more explanations.

Ask your own question