## anonymous one year ago 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)

1. anonymous

@peachpi

2. anonymous

@pooja195

3. anonymous

A = πr² and r = 2t. How do you write A in terms of t without an r?

4. anonymous

I am sorry i am very confused on this.

5. anonymous

|dw:1439490460112:dw|

6. anonymous

$A = \pi(2t)^2$

7. anonymous

Oh ok :]

8. anonymous

then just plug in 5 for t to get the area

9. anonymous

So, $\pi \left( 2 *5 \right)^{2}?$

10. anonymous

yes

11. anonymous

So just solve it?

12. anonymous

yes

13. anonymous

62.831853?

14. anonymous

no. make sure you're using parentheses just like you typed it here

15. anonymous

2*5 first then square it then multiply by π

16. anonymous

314.159265?

17. anonymous

yes

18. anonymous

Yay :V. Whats Part A? And whats part B?????????????????

19. anonymous

a is the equation, b is the number after plugging in 5

20. anonymous

Oh ok thank you so much!

21. anonymous

yw