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.

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.

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.

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.

anonymous · Answer

@ganeshie8  help me

anonymous · Answer

@CashBoy27 
help

dumbcow · Answer

general exponential growth function
$$f(x) = a(b^x)$$
a is initial value
b is greater than 1

anonymous · Answer

but how can i identify principal population of the snail

dumbcow · Answer

its not given, just make up a number

anonymous · Answer

so like 4(6^3)

anonymous · Answer

@dumbcow

dumbcow · Answer

almost
4(6^x)

where x is num of years
rate of growth would then be 500% per year

dumbcow · Answer

i prob should have said
$$f(x) = a(r+1)^{x}$$
r is yearly rate of growth