The slope of the linear model \( y = 17.5x + 480 \) represents the change in mass (in grams) associated with a one-unit change in age (in days). Specifically, the slope is 17.5, which means:
Each additional day is associated with an additional 17.5 grams of mass.
So, the correct interpretation of the slope is:
Each additional day is associated with an additional 17.5 grams of mass.