The correct answer is pathos, or an appeal to emotion. When someone speaks of starving children, they are typically trying to invoke pity or other strong feelings in the person they're trying to persuade to do something. Logos, or an appeal to logic, is not typically used when speaking of starving children, as is ethos. It wouldn't be as convincing if a person were to use logos and tell you about statistics about child hunger or ethos to tell you how great they are for helping starving children as it would be for them to try to make you feel emotional about children dying of hunger in poverty.
Hope this helps!
