In a carefully controlled biology lab, a population of 100 bacteria reproduces exponentially. Every hour, each bacteria doubles. Assuming no bacteria deaths, a function in the form f(t)=ab^t can be used to model the growth of the bacteria population. Considering this information, complete the following statement. The Value of a=_

The Value of b=_

Select the functions in the following list that represent exponential growth.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.