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.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 Staff
 Calculus, Bacteria, bacteria culture, bacteria cultures

Click to edit the document details