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Write a real-world situation that can be modeled by y equals 3 to the power of t. post your situation and explain why it is modeled by the equation shown.

a. choose a situation written by another student. do you agree that the student's situation can be modeled by the given equation?

b. explain how you would modify either your situation, or another student's situation, if the equation was changed to y equals 2 open parentheses 3 close parentheses to the power of t.

c. if the equation were rewritten in the form y equals b open parentheses 1 plus r close parentheses to the power of t, what would be the value of r? tell what this value means in relation to either your, or another student's, situation.

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A a real-world situation that can be modeled by y equals 3 to the power of t is the production of a bacteria culture. Let us say that y is the number of bacteria and that t is number of hours. So you can say that a bacteria, y, will multiply at t hours.

b. If the equation was changed to y equals 2 open parentheses 3 close parentheses to the power of t then it would produce double the original value of the number of bacteria because of the presence of 2 times 3 to the t.

c. If the equation were rewritten in the form y equals b open parentheses 1 plus r close parentheses to the power of t, the value of r will be known if all the other variables such as b, y and t. If these variables are unknown, then you cannot solve for the value of r.

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