ALG #3 Exponential Functions Review

Front

Function with increase:

a = initial value

b = rate

t = time

Back

y = initial amount (1 + rate)^time

Front

The value when it depreciates.

Back

y = initial (1 - rate)^time

Front

The population is expected to grow

Back

Front

exponential growth or decay?

Back

Decay: the rate is a fraction

Growth: the rate is a whole number greater than 1

Front

How to find the rate:

if r is negative, it is decay

if r is positive, it is growth

Back

Front

How to solve for time:

Back

graph the equation and look for the y value that is equal to the one given

Front

To calculate money in a bank account that earns interest compounded:

daily: t = 365

weekly: t = 52

monthly: t = 12

quarterly: t = 4

annually: t = 1

Back

Front

To find the initial deposit?

Back