Creating Your Own Exponential Equation Based on Data Provided

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

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

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

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