1-2 Growth factor and time (p12)

• Wiskunde
• Middelbare school
• havo
• Leerjaar 3

1-2 Growth, factor and time (p. 12)

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• Determine the factor when there is exponential growth.
• Determine the formula if you have the table for exponential growth between two variables.

• Calculate the growth factor for a different unit of time
• Calculate a numer a few steps back in a table by dividing by the growth factor

Growth factor for a different unit of time

When you know a growth factor g per unit of time, you can calculate the growth factor for a different unit of time. 

For example, if you multiply the unit of time by four, the corresponding growth factor is 

g​4​​

10 (p. 12)

10a

1. 1,01
2. 1,02
3. 1,03
4. 1,04

10b

1. 1,06
2. 1,13
3. 1,19
4. 1,27

10d

1. B=600⋅1,27​t​​
2. B=1,27⋅600​t​​
3. B=600⋅1,19​t​​
4. B=1,19⋅600​t​​

Calculating back

If you have to calculate back in time in an exponential growth process, you can devide by the growth facor for that period.

13 (p. 12)

How many bicycles were there in 2012?

1. 35 847
2. 38 041
3. 41 176
4. 43 562

Conclusion:

• When you know a growth factor g per time unit, you can calculate the growth factor for a different unit of time.
• To calculate back a few steps in time, you can devide by the growth factor for that number of steps.

Try on your own

1, 2, 5 and 7

TRY ON YOUR OWN

8, 9, 11, 12 and 14 (p. 12-13)

RULES:

• In your writingbook
• Use: Textbook
• Discussion when you are stuck is allowed

Extra excercise: B3, B4 (p. 26)

Challenge: C2 (p. 30)