The population size of a certain bacteria triples every decade. If
there are 100,000 bacteria in the population to start with find the
defining equation of the function which describes how many bacteria
there will be after x decades.
2007-01-16 03:41:51 · 4 answers · asked by Bill B 1 in Science & Mathematics ➔ Mathematics
After the first decade the population increases by a factor of 3 (3^1), after the second by a factor of 9 (3^2) etc... so it increases by a factor of 3^x. Hence the equation is:
f(x) = 100000 x 3^x
2007-01-16 03:45:01 · answer #1 · answered by catarthur 6 · 1⤊ 0⤋
P(n) = 100,000 Ã 3ⁿ
I used n cuz I can't make a superscript x, but replace the n by x.
P(0) = 100,000 Ã 3^0 = 100,000
P(1) = 100,000 à 3¹ = 300,000
P(2) = 100,000 à 3² = 900,000
etc
2007-01-16 03:45:26 · answer #2 · answered by Jim Burnell 6 · 1⤊ 1⤋
B= 100.000*(3)^x
2007-01-16 04:25:32 · answer #3 · answered by santmann2002 7 · 0⤊ 1⤋
yup yup
2007-01-16 03:49:53 · answer #4 · answered by W.I.C.K.E.D. 3 · 1⤊ 0⤋