What are the roots of the equation?
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Answer: The meaning of each term of the Madison’s and Tyler’s expressions is mentioned below.
Step-by-step explanation:
Since, when Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h.
That is, after 1 hour total number of amoebas = 3×1000 =
After 2 hour, total number of amoebas = 3×3000=
After 3 hour, total number of amoebas = 3×9000=
similarly, after h hours, total number of amoebas,
f(h) =
where, 1000 is the initial population of amoeba 3 is the growth factor of population and f(h) is the population of amoeba after h hours.
Since, when Tyler starts with a population of 1 amoeba that increases 30% in size every hour for a number of hours.
That is, after 1 hour total number of amoebas =
After 2 hour, total number of amoebas =
After 3 hour, total number of amoebas =
Similarly, after h hours, total number of amoebas,
f(h) =
Where, 1 is the initial population of amoeba, 0.3 is the growth rate and 1.3 is the growth factor.