Assume that a population of ticks is growing exponentially. Find the number of ticks after 25 days if an initial population of 100 ticks triples in 10 days.

Question

australopithecus · Answer

A=Pe^(rt)

australopithecus · Answer

im pretty sure is the formula

anonymous · Answer

100000

australopithecus · Answer

First you need to figure out the rate we know that

A = 300 
P = 100
t = 10
r = ?

Once we figure out the rate we can figure out how many ticks we have in 25 days

anonymous · Answer

$$100\times 3^{\frac{25}{10}}$$ will work

australopithecus · Answer

Although satellites method may be easier

anonymous · Answer

no need to find the rate, you have it. it triples every 10 days

australopithecus · Answer

My method is longer but it still works satellite :)

australopithecus · Answer

although your method is smarter

anonymous · Answer

otherwise you have to solve an exponential equation, then go back and replace t by 25.  too much work for me, and also less accurate since you will probably round the rate

anonymous · Answer

where is 300 from on a?

anonymous · Answer

yes of course it works.

australopithecus · Answer

depends how you perform the calculaton satellite :\ so the accuracy is not a problem

australopithecus · Answer

but yes your method is better no need to rub it in :)

ash2326 · Answer

Population (P) grows exponentially, given that it triples in 10 days, We can write as
$$P=p \times 3^{t/10}$$
p = initial population
p=100
$$P=100\times 3^{t/10}$$
After 25 days P will be
$$P=100\times 3^{25/10}$$

anonymous · Answer

not better, just easier

anonymous · Answer

so the answer i got is 1558.84
is that correct?

anonymous · Answer

?

anonymous · Answer

http://www.wolframalpha.com/input/?i=100*3%5E%285%2F2%29