Can someone walk me through this? WILL GIVE MEDAL & FAN

Create an exponential growth function, f(x), to model a population of frogs that is growing every year. Identify the principal amount, the growth rate, and the appropriate domain and range for your function. Explain how these key features would affect the graph of f(x).

Question

Can someone walk me through this? WILL GIVE MEDAL & FAN

Create an exponential growth function, f(x), to model a population of frogs that is growing every year. Identify the principal amount, the growth rate, and the appropriate domain and range for your function. Explain how these key features would affect the graph of f(x).

anonymous · Answer

@campbell_st

campbell_st · Answer

well the easiest thing to use it the compound interest formula, that you may have used in financial maths questions, with just a couple of tweeks

$$P_{t} = P_{0}(1 + \frac{r}{100})^t$$

so 

$$P_{t} = population ~~after~~ t~~years$$

$$P_{0} = initial ~~ population $$

$$r = growth ~~rate ~~as~~a~~percentage$$

$$t = number~~of~~years$$

that's my best guess based on the information. There are growth models that use e. 

the domain, time can only be positive... and as a consequence the the 1st time value is 0. 

lastly, the range can cannot be negative... you can't have less than zero frogs. 

so range > 0... or perhaps 2 given you would need a male and female to increase the population. 

hope it all helps

anonymous · Answer

Im unsure of what my answer would be?