## Related questions with answers

Question

The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 250 bacteria, and the population after 10 hours is double the population after 1 hour. How many bacteria will there be after 6 hours?

Solution

VerifiedStep 1

1 of 3$y=ae^{bx}$

$2y=ye^{9b}$

$\dfrac{2y}{y}=e^{9b}$

$2=e^{9b}$

$\ln2=\ln e^{9b}$

$\ln2=9b$

$b=\dfrac{\ln2}{9}$

The amount after 10 hours is double the amount after 1 hour.

Find the rate of growth (b).

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