A container of oil has spilled on a concrete floor. The oil flow can be expressed with the function n(t) = 8t, where t represents time in minutes and n represents how far the oil is spreading. The flowing oil is creating a circular pattern on the concrete. The area of the pattern can be expressed as A(n) = πn2. Part A: Find the area of the circle of spilled oil as a function of time, or A[n(t)]. Show your work. (6 points) Part B: How large is the area of spilled oil after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Accepted Solution

A) [n(t)] = π(8t)^2

B) π40^2 = 5024