The exponential growth formula can be expressed as:
\[ A = b(1 + r)^n \]
where:
- \( A \) is the final amount after exponential growth
- \( b \) is the initial amount
- \( r \) is the rate of growth as a decimal
- \( n \) is the number of time periods
To calculate the exponential growth, you would raise \( 1 + r \) to the power of \( n \) and multiply it by the initial amount \( b \).
If the rate of growth is negative, it would result in a decay or decrease in the final amount over time.
a and the base b is the exponential growth which equals 1 plus the percent rate of change expressed as a
decimal
a>0
ratio
0<b<1
exponential
minus
difference
1 answer