Question

Can someone please check my answers?! Medal + Fan!

Answer 1

A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function r(t) = 3t, where t represents time in minutes and r 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(r) = πr2.

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

Part B: How large is the area of spilled paint after 10 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Answer 2

I'm still working on Part B.

Answer 3

that looks right for part A

Answer 4

For the growing circle, The Area is a function of the radius, and the radius i a function of time...

Answer 5

Area----->Radius---->time

Answer 6

use t=10 min in your Area function

Answer 7

My mom helped me with Part B, but neither of us really understand it. We kinda suck at math, unfortunately :/

Answer 8

@DanJS If the area is a function of the radius and the radius is a function of time, wouldn't I have to use t = 10 in my radius function and not the area function?

Answer 9

it doesnt matter, try it both ways, same answer

Answer 10

Calculating A(r(t)) is the same as first finding r(t) then using that in A(r)

Answer 11

Right, and the same answer if you use A(r(t))

28.26 * 10^2 = 2826

Answer 12

So my work is right?

Answer 13

yes, looks good

Answer 14

Thank you so much! I really appreciate your help! :)

Answer 15

no prob, goodluck

Answer 16

what was part A?

Answer 17

π(3t)^2

^ That equation will help you find the answer.

You multiply 3.14 times 3^2 times t^2

Answer 18

So it'll look like:

(3.14)(9)(t^2)

Then multiply.

The answer is 28.26t^2

Answer 19

Wait can you please explain what is part A and B? please

Answer 20

@DanJS please help me