. A large cake is in a room. The first person who comes in takes 1/3 of the cake. Then a second person takes 1/3 of what is left. Then a third person takes 1/3 of what is left. And so on. a) Is there still cake left after three people each take some cake? Why or why not?
b) Complete the table for C(n), the fraction of the original cake left after n people take some.
n C(n)
0
1 2/3
2
3
4

Hiya

Step-by-step explanation:

1) No because they took a 3rd of the cake meaning they took all the cake depending on the size that’s a lotta cake so lets say this

I have a whole pizza I take 1/3 of it and so do two other people therefore no pizza is left.

d is the only accurate one

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: