Subjects algebra

Seconds Feet Ratio 85Ecc7

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1. **State the problem:** Paloma rides a scooter traveling 10 feet every 1 second. Hannah claims the ratio of seconds traveled to feet traveled is 10:1. We need to check if Hannah is correct. 2. **Understand the ratio:** The problem states Paloma travels 10 feet in 1 second. The ratio of seconds to feet means how many seconds correspond to how many feet. 3. **Express the given information as a ratio:** Paloma's speed is 10 feet per 1 second, so the ratio of feet to seconds is $10:1$. 4. **Check Hannah's ratio:** Hannah says the ratio of seconds to feet is $10:1$. This means 10 seconds for every 1 foot. 5. **Compare the two ratios:** The actual ratio of seconds to feet is the inverse of the speed: $$\text{seconds} : \text{feet} = 1 : 10$$ because 1 second corresponds to 10 feet. 6. **Conclusion:** Hannah's ratio $10:1$ (seconds to feet) is incorrect. The correct ratio is $1:10$ (seconds to feet). 7. **Model explanation:** If Paloma travels 10 feet in 1 second, then in 10 seconds she travels 100 feet, not 1 foot. So the ratio of seconds to feet must have a smaller number of seconds per foot, not larger. **Final answer:** Hannah is not correct. The ratio of seconds traveled to feet traveled is $1:10$, not $10:1$.