To calculate how many hot dogs Dwayne can eat in a given time, we can use the rate at which he eats, which is 11 hot dogs per minute.
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In 5 minutes: \[ \text{Hot dogs eaten} = \text{Rate} \times \text{Time} = 11 , \text{hot dogs/min} \times 5 , \text{min} = 55 , \text{hot dogs} \]
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In 9 minutes: \[ \text{Hot dogs eaten} = 11 , \text{hot dogs/min} \times 9 , \text{min} = 99 , \text{hot dogs} \]
So, in 5 minutes, Dwayne can eat 55 hot dogs, and in 9 minutes, he can eat 99 hot dogs.
The correct response from the provided options is 55; 99.