The table shows a bacterial population y after x days.
1 answer:
Answer:
y = 5e^1.9459101t
y = 84035
Step-by-step explanation:
Given the data:
X _____ Y
0 _____ 5
1 _____ 35
2 ____245
3 ____1715
4 __ 12005
Exponential function for the distribution :
y = initial(1 + rate)^t
y = Pe^rt
35 = 5e^r
35/5 = e^r
7 = e^r
Take In of both sides
1.9459101 = r
y = Pe^rt
y = 5e^1.9459101t
Population after 5 days :
y = 5e^1.9459101 * 5
y = 5e^9.7295505
y = 5 * 16806.995
y =84034.979
y = 84035
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