Which of these points lies on a circle centered at a(3, 3) and passing through b(6, 5)? a. c(1, 6) b. d(6, 0) c. e(0, 3) d. f(3, -1) e. g(3, 6).

 we are given with a circle with the center at (3,3) and one that passes through (6,5). The equation of a circle is (x-h)^2 + (y-k)^2 = r^2. In this case h = 3 and k = 3. Substituting, h and k and x = 6 and y = 5, r^2 is obtained to be 13. Among these points, A. point (1,6) fits to the equation. 

Days  Amount of Bacteria   
0        30
1        28.5
2        27.075
3        25.72
4        24.44
5        23.21
6        22.05

30 - 28.5 = 1.5
1.5 / 30 = 0.05 or 5%  decay.

The 5% decay means that everyday, the current amount in grams is 5% less than the amount in grams the previous day. 

f(x) = 30(0.95)^x
f(8) = 30(0.95)^8
f(8) = 30(0.6633)
f(8) = 19.90 grams

b. On the eighth day, the bacteria is 19.90 grams