There are currently 27 frogs in a pond.The frog population grows a lot, tripling every 8 days.How long will it take (in days) for there to be 290 frogs in pond?

Question

time to 290 frogs:?

The pond's ecosystem can support 1900 frogs. How long until the situation becomes critical?

time to 1900 frogs:?

Answer 1

Set

 

290 = 27 (3)^t/8

 

and solve for t.

 

290/27 = 3^t/8

 

log(290/27) = (t/8) log3

 

t = 8 log(290/27) / log3 ≅ 17.288 days

 

Test the answer.

 

For time to 1900, set

 

1900 = 27 (3)^t/8

 

and solve for t.  Can you finish from here?