The correct match is.
Analysis shows that this plan will reduce food waste by 32%. - Logos
Think of the young children who will be helped by this plan. - Pathos
I have spent years visiting schools and studying school lunch programs. - Ethos.
Step-by-step explanation
Aristotelian rhetoric is a way to argue developed in ancient Greece, which proposes three different ways to support an idea: ethos, pathos, and logos. In ethos, the author supports an idea by using his-her authority or experience in a topic which makes the audience believe the speaker is credible. Second, pathos is the way of arguing, alluding to the feelings and passions of the audience. Finally, logos is a way of arguing alluding to logic and reason to provide valid and logical support to the speech.
According to the above, the sentence "Analysis shows that this plan will reduce food waste by 32%." It is an example of logos because it makes use of logic and reason to state a fact through statistics.
Secondly, the sentence "Think of the young children who will be helped by this plan" is an example of pathos because it has the purpose of moving the feelings of the recipient to act in a certain way by mentioning the children.
Third, the sentence "I have spent years visiting schools and studying school lunch programs." It is an example of ethos because it makes use of the speaker's experience to support what has been said.