Human civilization, at least since the time of ancient egypt, is on the order of 5000 years old. the age of the earth is on the order of 5 billion years. suppose we use the length of a football field, or about 100 meters, as a timeline to represent the age of the earth. if we put the birth of the earth at the start of the timeline, how far from the start of that line would human civilization be?

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.