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Worksheet: Introduction to Exponential Growth

Q1:

A savings account has no accumulated interest, but it receives a deposit of $550 every month. Can this be represented by a linear or an exponential growth model?

  • Aa linear growth model
  • Ban exponential growth model

Q2:

A savings account offers an annual interest rate of . Can this be represented by a linear or an exponential growth model?

  • Aan exponential growth model
  • Ba linear growth model

Q3:

Determine whether the data shown exhibits growth or decay, stating whether it is linear or exponential.

0123
2512.531.25
  • Alinear decay
  • Bexponential growth
  • Cexponential decay
  • Dlinear growth

Q4:

The given table shows a video’s daily view count. How would you describe the figure’s growth?

Day12345
View Count61957168499
  • Alinear decay
  • Bexponential growth
  • Clinear growth
  • Dexponential decay

Q5:

Is the exponential function growing or decaying?

  • Agrowing
  • Bdecaying

Q6:

Which of the functions below represents exponential growth?

  • A
  • B
  • C
  • D

Q7:

Which of the functions below represents exponential growth?

  • A
  • B
  • C
  • D

Q8:

Several fish were accidentally released into a lake. After weeks, the number of fish is estimated to be . Determine the likely number of fish in the lake after 5 weeks. Give your answer to the nearest whole number.

  • A266
  • B95
  • C35
  • D325

Q9:

Property rental prices downtown are increasing at a rate of per year. This year, an apartment is available for $800 a month. Write an expression for , the value in dollars of the apartment years from now.

  • A
  • B
  • C
  • D
  • E

Q10:

The population of a city is increasing by annually. Given that the current population is 1.7 million, and assuming that the growth rate remains constant, find the population of the city in 8 years time. Give your answer in units of millions correct to two decimal places.

Q11:

The number of bacteria in a laboratory quadruples every hour. There were initially 200 bacteria. Write an expression for , the number of bacteria hours after the initial measurement.

  • A
  • B
  • C
  • D
  • E

Q12:

The function represents a population, in millions, years after 1970 that is growing at an annual rate of and started at 13.2 million in 1970. What is the value of ?