Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 5t, 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) = πp2. part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. (6 points) part b: how large is the area of spilled paint after 2 minutes? you may use 3.14 to approximate π in this problem. (4 points)

A). A[p(t)] = 25πt²

B). 314 square unit

Step-by-step explanation:

A bucket of paint on a tile floor. The paint flow can be expressed with the function p(t) = 5t

where t represents the time and p represents how far the paint will flow.

Area of the pattern can be expressed as A(p) = πp²

A). Area of the circle of spilled paint can be defined as A[p(t)] = π(5t)²

A[p(t)] = 25πt²

B). In this part we have to calculate the area of spilled paint after 2 minutes.

A[p{2)] = 25π(2)²

           = 100π

           = 100(3.14)

           = 314 square unit

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