To find the number of pounds of added sugar Lukas could eat in a year while keeping his added sugars down to 9% of his total food intake, you can calculate it as follows:
- Total food intake in a year = 1,500 pounds
- Percentage of added sugars desired = 9%
Now, calculate the amount of added sugar:
\[ \text{Amount of added sugar} = \text{Total food intake} \times \left( \frac{\text{Percentage of added sugars}}{100} \right) \]
\[ \text{Amount of added sugar} = 1500 \times \left( \frac{9}{100} \right) \]
\[ \text{Amount of added sugar} = 1500 \times 0.09 = 135 \text{ pounds} \]
Therefore, Lukas could eat 135 pounds of added sugar in a year at that rate.