We are told that 16.5 pounds of food are consumed every 6 weeks. Since there are 7 days in a week this means that 6 weeks has:
[tex]6\text{weeks}\frac{7days}{1week}=42days[/tex]Now we determine the quotient between the amount of food and the number of days:
[tex]\frac{16.5\text{ pounds}}{42days}=0.39\frac{pounds}{\text{day}}[/tex]Therefore, the dog eats 0.39 pounds per day.