Exponentials Practice Test

What is the average rate of increase in squirrels over...? Year 1 to Year 3: ___ squirrels per year

Mathematical Equivalence

ON

What is the average rate of increase in squirrels over...? Year 2 to Year 5: ___ squirrels per year

Mathematical Equivalence

ON

Complete the table to determine whether each function represents exponential growth or exponential decay.

Groups:

(a) Exponential Decay

,

(b) Exponential Growth

Which of these statements about the percent amount of growth or decay in the given functions are true? Select all that apply.

The populations, in millions, of five countries in t years, after the year 2000, are given as functions. Which of the following correctly model the cities increased by a constant percent rate each year? Select TWO that apply.

• Bank Account 1 grows 0.72% every 3 months while Bank Account 2 grows 0.9% every month

• Bank Account 1 grows 0.72 every 3 months while Bank Account 2 grows 0.9 every month

• Bank Account 1 grows 0.72% every month while Bank Account 2 grows 0.9% every 3 months

• Bank Account 1 grows 0.72 every month while Bank Account 2 grows 0.9 every 3 months

• A) The number of quails at the beginning of the study is 20 and increases by 745% every year

• B) The number of quails at the beginning of the study is 20 and increases by 745 every year

• C) The number of quails at the beginning of the study is 745 and increases by 20 every year

• D) The number of quails at the beginning of the study is 745 and increases by 20% every year

The population of deer in Dearborn County is initially 8100 deer. Each year the population decreases by 20% due to hunting and development. Write an equation to predict t the number of years it would take for the population drop to 300 deer?

At a bird sanctuary, the population of bluebirds is 1,500 and is increasing 4% annually. The population of goldfinches is 12,000 and is increasing 2% annually. Which equation can be used to determine t, the number of years in which the expected population of bluebirds will be half the expected population of goldfinches?

• In month 2, there were more hamsters than there are rabbits

• The number of rabbits increases by a greater percent each month than does the number of hamsters

• In month 3, there are more rabbits than there are hamsters.

• In month 1, the number of rabbits and the number of hamsters both increased by the same number

• When both started their farms, there were more rabbits than hamsters