NEED HELP ASAP, WILL GIFT 60 COINS AND MARK BRAINLIEST
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) = 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 8 minutes? You may use 3.14 to approximate π in this problem. (4 points)

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wnjmay wnjmay · Answer 1 · 2019-07-25T21:13:35+02:00

Answer:

A:A(6t)=πp^2

B: about 7234.56

Step-by-step explanation:

First find A[p(t)], Since this is a composite function so whenever you see p(t), you replace it with 6t, that is the value of p(t).

This is a simplified version of the area of the circle as a function of time A(6t)=πp^2

To find how large the area of paint spilled plug in 8 for t because t represents time.

A(48)≈3.14(48)^2

A(48)≈3.14*2304

A(48)≈7234.56

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