Calculate the initial growth rate of the population

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1. A population of 1500 bacteria grows exponentially for three doubling periods, at a rate of 0.020 per hour, until the bacteria are killed with antibiotics.

Calculate the initial growth rate of the population.

2. At the beginning of a year, there were 1923 painted turtles in a population. Over the year, 343 painted turtles were born, 176 died, 72 immigrated from other areas, and 12 emigrated.

(a) Determine the percentage population change of the painted turtle population.

(b) Do you think this information is enough to determine whether or not the growth rate of the population is a cause for concern? Explain your reasoning.

(c) While an accurate count of the turtle population is essential, what other data are important for developing a good conservation plan?

3. Why is exponential growth represented by a J-shaped curve? Why is logistic growth represented by an S-shaped curve?

4. It has been a wet, warm summer in northern Ontario, and a small population of mosquitoes is exhibiting exponential growth. The initial population size is 650, and the intrinsic growth rate is 0.450 per day.

(a) Calculate the initial instantaneous growth rate for the mosquito population.

(b) Calculate the doubling time for the population.

(c) How many doubling times would have to occur for the population to exceed 1 000 000? How many days does this represent?

Reference no: EM132734625

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