MBF3C U4L3 Modelling Exponential Growth

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GO!

Topic : Modelling Exponential Growth

Goal : I know what it means for something to grow exponentially and I can create tables of values and graphs to demonstrate this growth.

Modelling Exponential GrowthHere's the situation : Mrs. Caldwell has decided to give the 22 students in her MBF 3C class a Christmas present. She offers this deal.

Option 1. Take a nice, crisp million dollar bill on the first day of December.

Option 2. Take a nickel today. Then tomorrow she will give you another nickel (that doubles your money). The day after she will give you two nickels (bringing your total to 4 nickels on the third day). Each day Mrs. Caldwell will give you an amount of money, equivalent to the total you had the day before. She will continue to do this for the whole month of December completing her gift on New Year's eve.

What option do you think you should take?What is each student's share of the Christmas present under each option.

Make a table of values and a graph to support your answer.

The first pair that correctly determines the amounts will get 5 chocolates each. If they also show me a math equation to support this so that they don't have to calculate each day individually, they get another 5 each.

Any other pair that correctly determines the amounts in the given time, will receive three chocolates each.

MBF3C U4L3 Modelling Exponential Growth

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Day Amount

Dec 1

Dec 2

Dec 3

Dec 4

MBF3C U4L3 Modelling Exponential Growth

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Practice Questions - Page 153 #3-7