SOLUTION: The number of bacteria is growing exponentially. If the number of bacteria rises from 100 to 350 in 6.5hours, how many bacteria will there be after 14 hours? Please help!!

Question 386972: The number of bacteria is growing exponentially. If the number of bacteria rises from 100 to 350 in 6.5hours, how many bacteria will there be after 14 hours?
Please help!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The number of bacteria is growing exponentially. If the number of bacteria rises from 100 to 350 in 6.5hours, how many bacteria will there be after 14 hours?
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Exponential Form: y = ab^x
350 = 100*b^6.5
---
b^6.5 = 3.5
6.5log(b) = log(3.5)
log(b) = [log3.5]/6.5 = 0.0837
---
b = 10^0.0837
b = 1.2126
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Equation:
f(x) = 100*1.2126^x
--how many bacteria will there be after 14 hours?
f(14) = 100*1.2126^14
f(14) = 1485.34
Rounding down you get f(14) = 1485
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Cheers,
Stan H.
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