Find the inverse of f(x) =3x-2
2 answers:
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Answer: 2560 < 98415
Step-by-step explanation:
The number of cells increase in an exponential growth, which is, in general:
A(t) = A₀.
where;
A is the growth at a time "t"
A₀ is the initial amount of cells
k is rate of growth
t is time in minutes
To write an equation for the conditions described above, we have to find the rate k, knowing that at every 2 minutes, the number of cells increases by 50%, i.e., A₀*1.5:
A(2) = 2560
2560*1.5 = 2560
= 1.5
ln() = ln(1.5)
k = 0.2027
With the initial value, the rate and knowing that the number of cells has to be less than 98415:
2560 < 98415
<u>The inequality in terms of t is 2560</u><u> < 98415</u>