2. The number of bacteria in a colony is growing exponentially. At 2 pm there were 1o bacteria and at 4 pm there were 4000 bacteria. Use the form "y=a(b)^x" & do not use commas in the #'s as well as no spaces. a. Write an exponential function to model the population y of bacteria x hours after 2 pm. Show how you found "b." a 3D Eqn: y= b. How many bacteria were there at 7 pm that day? Show the "set-up"/work. No commas in th #'s. *Remember 7 pm does not mean 7 hours because we started at 2 pm.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Given:
bacteria at 2pm=10
bacteria at 4pm=4000
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