Question

[Been stuck on it for weeks, help me or I will fail. I will give Brainlist to anyone who has a well written descriptive answer please.]
A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the
function p(t) = 6t, 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) = лp².
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 8 minutes? You may use 3.14 to
approximate in this problem. (4 points)

Answer 1

Answer:

Part A: 28.26t²

Part B: 2,826 square unit

Explanation:

Part A:  

A[p(t)] = π (3t)² = 3.14 * 9t² = 28.26t²

Part B:

p(10) = 3(10) = 30

A(p) = 3.14 * 30² = 3.14 * 900 = 2,826 square unit