18. The population P of a culture of bacteria is described by the equation hours

Question

18. The population P of a culture of bacteria is described by the equation hours, relative to the time at which the population was 1600. P -1600e9, where t is the time, in (a) What was the population at3 hours? Show your work. (b) After how many hours will the population reach 10000.002 Round to the nearest tenth of an hour. Show your work. 19. The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by model to find the numbers of cell sites in the year 2009. 2632 1 +0.083e 0.0500r where t represents the year, with' correspondingto 2000. Use the a. 2,326,853.00 b. 2,327,853.00 c. 2,329,853.00 2,328,853.00 e. 2,330,853.00 20. A biologist wants to know the width w of a river so that instruments for studying the pollutants in the wa can be set properly. From point A the biologist walks downstream x 140 feet and sights to point C (see hin sighting, it is determined that -54 How wide is the river?

Explanation / Answer

19. The value for the population is option D

Just replace the value of t with numerical value of 9 we get the above option

18. Similarly if we replace the t with numerical value 3

We get population as 1600*e^(0.052*3) we get the value as

1870

The population after 3 years is 1870

For b part after how many years the population becomes 10,000

We have to find t value by replacing P = 10,000

We get t = ln(6.25)%0.052= 35.24

After 35 years the population reaches 10000

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