2. At t = 0, there were initially 20 bacteria. Suppose that the bacteria doubles every 100 hours. Give an exponential model for the bacteria as a function of t hours.
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Population Growth • Let t = time in days. At t = 0, there were initially 20 bactería. Suppose that the bacteria doubles every 100 hours. Give an exponential model for bacteria as a function.
y = yo(2)/r y = no. of bacteria at t
Yo = initial no. of bacteria
t = time of days %3D
T = unit of time when it doubles
Let A = amount of bacteria
Let T= time in ours
A =20*2 0/100
Check:
t=0
A=20*2
0/100
A=20*2⁰
A=20
t=100
A=20*2
100/100
A=20*2¹
A=20*2
A=40