Lily designs a rectangular tile structure for her kitchen. The top row of the structure will have 10 decorative tiles. The rest of the structure will have decorative tiles and standard tiles in a ratio of 3
decorative tiles for every 7 standard tiles.

Jorge designs a tile structure that can be modeled by the function , where represents the total number of standard tiles given the number of decorative tiles, .
For what values of will the ratio of decorative tiles to standard tiles in Jorge’s design be greater than the ratio of decorative tiles to standard tiles in Lily’s design, not including her top row?

Select the appropriate items from each of the dropdown menus to correctly compare the ratio of decorative tiles to standard tiles in Jorge’s and Lily’s designs.

The ratio in Jorge’s design is greater than the ratio in Lily’s design when is a positive integer and
=