The number of bacteria in a culture is given by the formula P(t) = 400 e^(0.7 t) where t is measured in hours

How many bacteria will the culture contain after 7 hours?

Question

The number of bacteria in a culture is given by the formula P(t) = 400 e^(0.7 t) where t is measured in hours


How many bacteria will the culture contain after 7 hours?

anonymous · Answer

calc. exponential growth and decay

anonymous · Answer

Just plug in 7 for t in your equation. So you will have:$$P(t)=400e ^{4.9}$$

Enter 4.9 in your calculator and push the e^x button, and multiply that value by 400 to get your answer.

This is growth equation since the exponent is positive.