Dynamic Activity

Exponential Growth and Decay

Lesson Vocabulary

• exponential growth
• growth factor
• compound interest
• exponential decay
• decay factor

Take Note Key Concept: Exponential Growth

Definitions

Exponential growth can be modeled by the function y = a · b x , y equals eh middle dot , b to the x , comma  where a > 0 eh greater than 0  and b > 1 . b greater than 1 .  The base b is the Exponential growth, which equals 1 plus the percent rate of change expressed as a decimal.

Algebra

initial amount  ( when  x = 0 ) y = a ↓ ⋅ b ↑ x ← exponent The base ,  which is greater than  1 ,  is the growth factor . table with 3 rows and 1 column , row1 column 1 , initialamount . open , when , x equals 0 close , row2 column 1 , y equals , eh with downwards arrow above , dot , b with upwards arrow below to the x , leftwards arrow , exponent , row3 column 1 , table with 2 rows and 1 column , row1 column 1 , cap thebase , comma . whichisgreater , row2 column 1 , than , 1 comma . isthegrowthfactor . . , end table , end table

Graph