Question

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.

Answer 1

@bibby

Answer 2

Show us your best guess.

Answer 3

Fx=100x+200

Answer 4

The population is increasing by 100 and the population of snails is already at 200 the x represents the growth rate

Answer 5

Which would be 15 years

Answer 6

@Owlcoffee

Answer 7

@nik

Answer 8

@nikato

Answer 9

Try another function
100x+200 is not exponential, it's linear

Answer 10

The exponential function is modeled like this:
\[f(x)=a ^{x}\]
This represents a parabolic form in the cartesian plane.
As nikato said, linear functions are modeled like:
\[f(x)=ax\]
So for the function to be exponential, the variable must be in the exponent rigurously.

Answer 11

So I could put 100^x+200

Answer 12

No?

Answer 13

Is what I put okay?

Answer 14

@nika

Answer 15

Yes, it could, so we can say they began as 201 snails and had a exponential growth,,

Answer 16

201? @Owlcoffee

Answer 17

Yes, because any number by the power of 0 is equal to 1.

Answer 18

Okay so it was first 201 snails then as each year progressed it increased by 100 snails

Answer 19

?

Answer 20

yes, instead of "X" you put a "1" and so on for 15 years.