# 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.

 0 1 2 3 2 5 12.5 31.25
• Aexponential decay
• Blinear growth
• Clinear decay
• Dexponential growth

Q4:

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

 Day View Count 1 2 3 4 5 6 19 57 168 499
• Alinear growth
• Bexponential decay
• Clinear decay
• Dexponential growth

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.

• A35
• B325
• C266
• D95

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 ?