Exponential Growth

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• Leerjaar 3

Linear Growth

Linear Growth

Linear growth means that a quantity is increased by the same number each time a set period of time passes.

This number is called the gradient.

Example:

The price of a cab fare increases by 5 euro per km.

The waterlevel in a barrel during a downpour increases by 2 mm per second.

Linear Growth

Exponential Growth

Exponential growth means that a quantity is multiplied by the same number each time a set period of time passes.

This number is called the growth factor per unit of time.

Example:

A bacterial colony triples each day.

A family of rabbits doubles each year.

Linear or Exponential

For each of the examples, determine if it's an example of linear growth or an example of exponential growth.

Linear

Exponential

Other

The number of fish in a pond after t years.

The price of n apples.

The amount of rain on date t.

Money on a savings account after t years.

Think of another example of exponential growth.

Exercise 2,

page 101

End of explanation.

Homework:

2, 3, 4, 5