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) = πp^2. what is A[p(t)], or the area of the spill?

Question

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) = πp^2. what is A[p(t)], or the area of the spill?

dude · Answer

Substitute the p(t) into p of the A(p) equation

A[p(t)] = $\pi (6t)^2$