V OCABULARY : Exponential growth This is a situation where - - PowerPoint PPT Presentation

DAY 114 WRITE THE EQUATION

OF AN EXPONENTIAL GROWTH OF A FUNCTION (DAY 2)

INTRODUCTION

We have just discussed a few cases of exponential growth however, there are more other cases to be

• considered. For instance, situations where the rate
• f change leads to a decrease in a number, and

situations where the rate increases or reduces

• continuously. In this lessons, we are only going to

discuss exponential growth without constant multiples of time and the exponential decay. Continuously rate of change will be discussed in the courses ahead.

VOCABULARY:

 Exponential growth

This is a situation where something increases by a constant numbers of times at every point. Exponential decay This is a situation where something decreases by a constant numbers of times at every point.

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 Example 1

$5600 grows exponentially at a rate of 8% every year. (i). Write an expression showing the amount after a number of years. (ii). Write an expression showing the amount after a number of months. (iii). Write an expression showing the amount after a number of months if the rate is applied twice a year.

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HOMEWORK

 A radioactive substance reduces by 2% after

every year. Find the amount of substance after some years if the initial amount was 43 ounces.

ANSWERS TO THE HOMEWORK

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THE END