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 of 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. This can be done in the notebooks or on vocabulary cards. Whatever system you use 

 

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.

 

 

 

 

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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