Question

Someone Please Help!!!

A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading.

The spilled sauce is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2.

Part A: Find the area of the circle of spilled sauce as a function of time, or A[r(t)]. Show your work. (6 points)

Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Answer 1

A: π(2t)^2 = 4πt^2

B: 4π5^2 5^2= 25x4= 100x3.14=314.

answer to B: 314(.159)

Explanation:

Answer 2

basically, r=2t
A(r)=pir^2
sub 2t for r
A(2t)=pi(2t)^2
A(2t)=4pit²


A. A=4pit²

B. t=5
A=4pi5²
A=4pi25
A=100pi
A=314 square units