Question

1) Repeated doubling, in which each doubling occurs in the same amount of time, is a hallmark of linear growth. A) True B) False 2) Money in a bank account earning compound interest at an annual percentage rate of 3% represents an example of linear growth. A) True B) False 3) Suppose you had a magic bank account in which your balance doubled each day. If you started with just $ 1, you'd be a millionaire in less than a month. A) True B) False 4) growth occurs when a quantity grows by the same relative amount in each unit of time. A) Exponential B) Static C) Linear D) None of the above 5) The doubling time of a population of flies is 4 hours. By what factor does the population increase in 48 hours? A) 21/12 B) 48 212 D) 248 6) In 2000, the population of Littletown was 17 thousand. Use the given doubling time to predict the population in 2060. Assume a doubling time of 32 years. A) 32,640 thousand B) 3.7 thousand C) 62.4 thousand D) 32.6 thousand 7) The half-life of a drug in the bloodstream is 9 hours. By what factor does the concentration of the drug decrease in 13 hours? A) 0.05 B) 2.72 C) 0.14 D) 0.37 8) Poaching is causing a population of elephants to decline by 5% per year. Use the approximate half-life formula to determine the fraction that remains in 59 years if there are 8661 elephants today. A) 8243 elephants B) 467 elephants C) 4829 elephants D) 18,250 elephants

Answer 1

1) Repeated doubling, in which each doubling occurs in the same amount of time, is a hallmark of exponential growth

False

Because its geometric growth. In exponential growth, occurs drastically.

2) False

Money in a bank account earning compound interest at an annual percentage rate of 3% is an example of exponential growth.

The growth rate is a relative rate.

3) True

Suppose you had a magic bank account in which your balance doubled each day. Ifyou started with just $1, you’d be a millionaire in less than a month.

. After only twenty days, the balance would be$2²⁰= $1,048,576

4)

Linear growth occurs when a quantity grows by the same relative amount in each unit Of time.

5)

Td=4 t=48

2 ^t/Td = 2^(48)/4 = 2¹²