Question

Beach Ball Problem
-Francine has a beach ball. It is colored with six vertical stripes, in order: white, red, blue, yellow, orange and green. She spins the ball on the surface of the water in her swimming pool, and she notices that the colors whirl by her very fast. If the first color to go by is green, and the ball spins around so that 500 colors go by, what is the 500th color? Explain how you got your answer.

Answer 1

6 colors
white, red, blue, yellow, orange green

which way she spin the ball?

cuzz if she spin -> then next color is white but if she spin <- next color is orange

Answer 2

->

Answer 3

ok thanks this helps

Answer 4

6 colors
white, red, blue, yellow, orange green spins just to keep track.
2 3 4 5 6 1 1
8 9 10 11 12 7 2
14 15 16 17 18 13 3

green1= 1
green2= green1+6
green3= green2+6

Answer 5

1 =1 0*6 1 spin
1 +6 =7 1*6 2 spin
(1+6)+6 = 13 2*6 3 spin
1+6+6+6= 19 3*6 4 spin

Answer 6

so at ith spin green will be

1+6*(i-1)

lets tri to find out roughly when green will be 500
500+a=1+6*(i-1) the a will be cuzz green wont be exactly the 500th color

Answer 7

500+a=1+6*(i-1) or if we choose a = 0 then

500=1+6*(i-1) sfi i = 84.1 so lets choose 85th spin

1+6*(85-1) = 505 will be green

how about 84th spin
1+6*(84-1)=499. :D which means the next color is the 500th which is

WHITE

Answer 8

oh my gosh dude thank you ive been stumped on this question!

Answer 9

:D just do it like me. ANd plot and draw and make tables :D

Answer 10

not to confuse you but i think this might work or not.

1+6*(i-1)
^ that is first and green but white is 2 and red is 3 and so on so lets say
a+6*(i-1) i think that is true.

a+6*(i-1)=500 you'd have to find an a and i. An a from 1 to 6
But it looks like it might take longer lol. nvrmnd