<span>¿Adónde preferirías ir de mochilero? Rodrigo: Me _________ ir de mochilero en las montañas.
Translation: Where would you prefer to go backpacking? Rodrigo: I [blank] to go backpacking in the mountains.
The options: gustaríamos - "[we] would like" gustaría - "[I] would", "[he/she] would like", or "[you] would like" (formal) gustarían - "[they] would like" gustarías - "[you] would like" (informal)
The subject is first-person singular, thus the correct conjugation is </span>gustaría.
Answer: gustaría Me gustaría ir de mochilero en las montañas.