Sofía y Carlos habrán convencido a Juan Pablo de tomar unas fotos para mandar a sus padres.
Explanation:
The only correct answer is: habrán convencido, since it's the conjugation of the <u>third person of the plural </u>(Sofía and Carlos). The tense used is the future perfect. It's used to talk about something that will be finished in the future before some other thing in the future. It's also used to talk about something that will happen in the future before some other thing happens. The sentence of the example in English es: Sofía and Carlos will have convinced Juan Pablo of taking some pictures to send to their parents.