1-1 Tables for exponential growth (p10)

• Wiskunde
• Middelbare school
• havo
• Leerjaar 3

Tables for exponential growth (p. 10)

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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.

• Determine if a table describes exponential growth.
• Calculate missing numbers in an exponential growth table.

Factor not exactly the same

In some exponential growth processes the factor is not exactly the same. This can be caused bij rounding results.

3 (p. 10)

3a

1. 1,0303; 1,0294; 1,02975
2. 1,02940; 1,0289; 1,02983
3. 1,02840; 1,0289; 1,02983
4. 1,02940; 1,0299; 1,02983

3b

1. Yes
2. No

3c

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

Check for exponential growth

1. Calculate the factor for each 

        pair of consecutive units of 

        time.

   2. Check whether the factor is 

        aproximatly the same for the 

        entire table.

4 (p. 10)

4a

1. Yes
2. No

4b

1. Yes
2. No

4c

1. Yes
2. No

4d

1. Yes
2. No

Calculate missing numbers

- To calculate the next 

   number in a table, 

   multiply by the factor

- To calculate the previous 

   number in a table, devide 

   by the factor

             Actualy working with the formula is easier!

6 (p. 11)

6a

1. h=256⋅1,25​t​​
2. h=300⋅0,2​t​​
3. h=64⋅2​t​​
4. h=2⋅3​t​​

6b

1. h=256⋅1,25​t​​
2. h=300⋅0,2​t​​
3. h=64⋅2​t​​
4. h=2⋅3​t​​

6c

1. h=256⋅1,25​t​​
2. h=300⋅0,2​t​​
3. h=64⋅2​t​​
4. h=2⋅3​t​​

6d

1. h=256⋅1,25​t​​
2. h=300⋅0,2​t​​
3. h=64⋅2​t​​
4. h=2⋅3​t​​

Conclusion:

• Growth factors may differ slightly due to rounding off
  
• Check if a table shows an exponential growth by calculating the growth factor of each consecutave interval
  
• Determine unknown values in table by 

      using the formula

Try on your own

1, 2, 5 and 7

TRY ON YOUR OWN

1, 2, 5 and 7 (p. 10-11)

RULES:

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

Extra excercise: B1; B2 (p. 26)

Challenge: C1 (p. 30)