Final answer:
To find the thickness of the frosting for a 3-inch cake, we can use the given ratio for a 2-inch cake and set up a proportion.
Step-by-step explanation:
To find the thickness of the frosting for a 3-inch cake, we can use the ratio given for a 2-inch cake:
Frosting height : Cake height = 2 inches : 2 inches
To find the frosting height for a 3-inch cake, we can set up a proportion:
Frosting height for 3-inch cake : 3 inches = 2 inches : 2 inches
By solving this proportion, we can find the frosting height for a 3-inch cake: 3 / 2 = x / 2
Cross multiplying, we get 3 * 2 = 2 * x
6 = 2x
Dividing both sides by 2, we find x = 3
So, the frosting height for a 3-inch cake would be 3 inches.