Question

Two bottles and their labels are mathematically similar.

Answer 1

Answer:

The area of the larger label is 187.5 square centimeters.

Step-by-step explanation:

If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:

$x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}$

$x = 187.5\,cm^{2}$

The area of the larger label is 187.5 square centimeters.