Joey chestnut is trying to break his own record for eating the most whole hot dogs in 101010 minutes. he needs to eat more than 727272 hot dogs to break his record. after 111 minute, joey has eaten 11 \dfrac{1}{4}11
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11, start fraction, 1, divided by, 4, end fraction hot dogs. let ddd represent the number of hot dogs joey eats per minute for the next 999 minutes.
which inequality represents the number of hot dogs per minute joey could eat for the last 999 minutes to break his record?

The Inequality is .

Step-by-step explanation:

Given:

Total minutes to break record = 10 minutes

Number of hot dogs to be eaten to break record more than 72 hot dogs

so we can add 1 more to counting as the record is of 72 and to break the record he need to eat at least 73 hot dogs

Number of hot dogs ate in 1 min =

can be rewritten as

We need to find number of hot dogs per minute Joey could eat for the last 9 minutes to break his record.

Let the number of hot dogs to be eat in 1 minute be 'x'.

So We can say that;

Number of hot dogs ate in 1 min plus Number of mins left multiplied by number of hot dogs to be eat in 1 minute should be greater than or equal to Number of hot dogs to be eaten to break record.

framing in equation form we get;

Hence the Inequality is .

step-by-step explanation:

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