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 […]

Exponential Growth: Recursive and Explicit Equations Part 1

– WELCOME TO PART ONE OF A LESSON ON EXPONENTIAL GROWTH. IN THIS LESSON WE’LL EXPRESS EXPONENTIAL GROWTH IN RECURSIVE FORM AS WELL AS EXPLICIT FORM. SUPPOSE THERE ARE 4,000 STUDENTS ATTENDING A LOCAL COMMUNITY COLLEGE AND THE NUMBER OF STUDENTS IS INCREASING BY 5% EACH YEAR. HOW MANY STUDENTS WILL ATTEND THE COLLEGE IN FOUR YEARS? SUPPOSE […]