Here we could try the same approach as before, setting: {{CMD_156}} {{CMD_157}} {{MATH_158}} the amount of dry cat food in Roxy's bowl at time {{MATH_159}}. {{CMD_160}} {{MATH_161}} the amount of dry cat food in Yuri's bowl at time {{MATH_162}}. {{CMD_163}} However in this case, the amount of food in a bowl at time {{MATH_164}} is {{CMD_165}}not{{CMD_166}} a continuous function! This is because dry cat food consists of discrete kibbles, and is not eaten in a continuous fashion. Hence the Intermediate Value Theorem {{CMD_167}}does not apply{{CMD_168}}, and we can make no definitive statements concerning the question above. {{CMD_169}} {{CMD_170}}