MAT 194-Project 2

MAT 194-Project 2 - MAT 194 Precalculus Project 2 Bacteria...

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MAT 194 Project 2 Precalculus Bacteria Cultures 1 Bacteria Cultures Lab Preparation Fully appreciating the nature of growth and decay can help us understand much of what we see in the world around us. Many phenomena, such as the spread of the AIDS virus, radioactive decay, and the payments you can make on a car, can be modeled by functions that describe how things grow or decline over time. To prepare you for investigating such phenomena, you should work on a problem that you may have seen before: If you place a penny on the first square of a checkerboard, two pennies on the second square, four on the third square, eight on the fourth square, and so on, how many pennies are on the very last square? A checkerboard is eight by eight squares. Fill in the following table, in which the second column gives the number of pennies on the square whose number is in the first column. Number of Square Number of Pennies 1 2 3 4 5 6 Enter these values in a data matrix and plot the points. What patterns do you find in the data? Write an equation that gives the number of pennies as a function of the number of the square. Graph this equation and compare it to the table values.
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MAT 194-Project 2 - MAT 194 Precalculus Project 2 Bacteria...

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