Question

figure out what Alice's height would be multiplied by if she ate 1 ounce, 2 ounces, 3 ounces, or 4 ounces of this cake

Answer 1

Alica height gets doubled on eating one ounce of this cake.

Let her height be $x.$

So if she eats one ounce cake ,her height will be two times of her initial height that is $2x.$

If she eats another cake,that is two ounce cake,her height will be doubled of her height before it$=2\times 2x=2^2x=4x$ (four times)

If she eats another cake,that is threeounce cake,her height will be doubled of her height before it$=2\times 4x=2^3x=8x$ (eight times of her initial height).

If she eats another cake,that is four ounce cake,her height will be doubled of her height before it$=2\times 8x=2^4x=16x$ (sixteen times of her initial height).