Abarrel 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)

As per the statement:

The sauce flow can be expressed with the function is given by:

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:

Part A.

To find the area of the circle of spilled sauce as a function of time.

then;

Substitute the function r(t) we have;

           .....[1]

therefore, the area of the circle of spilled sauce as a function of time, is:

.

Part B:

We have to find how large is the area of spilled sauce after 5 minute.

use  π = 3.14 and t = 5 minutes

Substitutes these in [1] we have;

⇒

Simplify:

square unit

therefore, 314 square unit large is the area of spilled sauce after 5 minute.

i am currently in the exact same situation rn. algebra2/adv algebra is killing

step-by-step explanation:

step-by-step explanation: