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.

A(p(t))     =113.04 t^2

A (p(8))   =7234.56

Step-by-step explanation:

p(t) = 6t

A (p) = 3.14 p^2

So A(p(t)) = means we  put p(t) in the function for A

                = 3.14 p^2

                = 3.14 (6t) ^2

                 = 3.14 (36t^2)

   A(p(t))     =113.04 t^2

Let t=8    

A (p(8)) = 113.04 (8)^2

            = 113.04(64)

             =7234.56

answer: do you still need this?

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168