1. The problem asks to write one of the rates found on the double number line. 2. The double number line shows cups of orange juice on the top line and cups of grape juice on the bottom line. 3. The values given are: - Orange juice: 0, 1, 2, 3, 4 cups - Grape juice: 0, 3, 6, 9, 12 cups 4. A rate compares two quantities, so we look at pairs of values aligned vertically. 5. For example, at 3 cups of orange juice, the corresponding grape juice is 9 cups. 6. This gives the rate $3 : 9$ or simplified by dividing both terms by 3: $$\frac{\cancel{3}}{\cancel{3}} : \frac{9}{3} = 1 : 3$$ 7. Another pair is 2 cups orange juice to 6 cups grape juice, which is $2 : 6$. 8. Simplify by dividing both terms by 2: $$\frac{\cancel{2}}{\cancel{2}} : \frac{6}{2} = 1 : 3$$ 9. So the rate $2 : 6$ simplifies to $1 : 3$ as well. 10. The rate $2 : 3$ or $3 : 4$ do not match the pairs on the number line. 11. Therefore, a correct rate from the number line is $3 : 9$ or $2 : 6$, both simplify to $1 : 3$. Final answer: $3 : 9$