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Exponential Equations

Published on Feb 06, 2016

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Exponential Equations

y=ab^x

For biology you are growing a culture of bacteria. There is 1 bacteria to start with. The bacteria quadruples every half hour. How many bacteria will you have after 8 hours?

Define your variable(s)
Write an equation that matches the story(y=a∙b^x) Explain the solution

Lenny is raising rabbits. He has 2 rabbits to start and every year the population quintuples each year. How many rabbits will Lenny have in 4 years


Define your variable(s)
Write an equation that matches the story(y=a∙b^x)
Solve the equation
Explain the solution

In a karate tournament there are 50 competitors. If after each round of matches ½ of the competitors are eliminated, how many will be left after 3 rounds? (round to the nearest whole person)


Define your variable(s)
Write an equation that matches the story(y=a∙b^x)
Solve the equation
Explain the solution

You invest in rare magic the gathering trading cards. You buy one for $3. If kept in mint condition its value doubles every year. How much will it be worth in 10 years?


Define your variable(s)
Write an equation that matches the story(y=a∙b^x)
Solve the equation
Explain the solution

If you and a friend are given the Ice Bucket Challenge and each of you challenge 3 more people, and then each of those challenge 3 more people and if this pattern continues, how many people will have been challenged after 8 rounds of challenges?


Define your variable(s)
Write an equation that matches the story(y=a∙b^x)
Solve the equation
Explain the solution

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