Preheat the oven to 350°F (175°C). Grease and flour a loaf pan.

In a mixing bowl, combine the melted butter and sugar. Mix until well combined.

Add the mashed bananas, beaten eggs, and vanilla extract to the mixture. Stir until smooth.

In another bowl, whisk together the flour, baking soda, and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined.

Fold in the butterscotch chips.

Pour the batter into the prepared loaf pan and smooth the top.

Bake in the preheated oven for 60 minutes, or until a toothpick inserted into the center comes out clean.

Remove from the oven and let cool in the pan for 10 minutes before transferring to a wire rack to cool completely.