Ex: Find the Initial Value and Exponential Growth or Decay Rate Given an Exponential Function

– IN THIS PROBLEM WE’RE GIVEN SIX EXPONENTIAL FUNCTIONS. THREE OF THEM ARE EXPONENTIAL GROWTH AND THREE OF THEM ARE EXPONENTIAL DECAY. FOR EACH FUNCTION WE WANT TO FIND THE INITIAL VALUE AND ALSO THE GROWTH OR DECAY RATE AS A PERCENTAGE. TO BEGIN, LETS IDENTIFY WHICH FUNCTIONS ARE EXPONENTIAL GROWTH, AND WHICH ARE EXPONENTIAL DECAY. FOR EXPONENTIAL […]

Ex: Inverse Variation Application – Number of Workers and Job Time

– THE TIME, T, REQUIRED TO DO A JOB VARIES INVERSELY WITH THE NUMBER OF PEOPLE, P, WORKING ON THE JOB. IF IT TAKES SIX HOURS FOR EIGHT WORKERS TO COMPLETE A JOB, HOW LONG WOULD IT TAKE IF THERE WERE NINE WORKERS? SO, SOMETIMES WHEN WE HAVE AN INVERSE VARIATION APPLICATION LIKE THIS, IT’S A LITTLE MORE […]

Ex: Find an Exponential Growth Function Given Two Points – Initial Value Given

– IN THIS QUESTION WE’RE ASKED TO DETERMINE AN EXPONENTIAL FUNCTION THAT PASSES THROUGH THE POINTS (0, 15) AND (5, 480). WE ALSO WANT TO KNOW WHAT THE EXPONENTIAL GROWTH OR DECAY RATE IS. WE ALSO WANT TO FIND THE FUNCTION VALUE WHEN X=2. IF AN EXPONENTIAL FUNCTION IS IN THIS FORM HERE THEN THE BASE B IS […]