1. Creating Your Own Exponential Equation
Based on Data Provided

2. General Form for an Exponential Equation
f(x) = P(r)n
y = P(r)n
A = P(r)n
P: Beginning amount (amount when time is zero)
r: ratio of one term to the next.
In order to find r, divide any term by its preceding term
n: time – number of years, days, weeks, minutes, etc depending on wording of the original problem

3. Exponential Example:
The Impractical Jokers set up a prank in Times Square. The chart below shows the number of people watching the prank after a certain amount of time
Set up an equation for the equation expressing number of people watching the prank after “n” minutes.
How many people will be watching the prank after 8 minutes?
Minutes (n) 1 2 3
# of People Watching 9 27

4. General Form for an Linear Equation
f(x) = dx + b
y = dx + b
A = dx + b
d: difference between any consecutive terms
b: value of the “zero” term
x: number of term you are interested in

5. Linear Example:
The chart below represents the amount of money (A) in Laura’s savings account “m” months after starting her new job
Set up an equation for the equation expressing the amount of money (A) in Laura’s bank account after “m” months
How much money will be in Laura’s savings account in one year?
Months (m) 1 2 3
Amount of $$ in Savings Account
$250
$500
$750