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An inequality that represents the number of hot dogs per minute joey could eat for the last 9 minutes to break his record is: 9d + [tex]11\frac{1}{4}[/tex] > 72
For given question,
Joey chestnut is trying to break his own record for eating the most whole hot dogs in 10 minutes.
He needs to eat more than 72 hot dogs to break his record.
After 1 minute, joey has eaten [tex]11\frac{1}{4}[/tex] hot dogs.
let d represent the number of hot dogs joey eats per minute for the next 9 minutes.
9d + [tex]11\frac{1}{4}[/tex] is the expression that shows how many hot dogs he will eat in total.
9d being how much he'll eat in the remaining 9 minutes, and [tex]11\frac{1}{4}[/tex] being the number of hot dogs he's already eaten in the first minute.
Since it has to beat his former record of 72, it has to be greater than 72. The inequality would be
9d + [tex]11\frac{1}{4}[/tex] > 72
Therefore, an inequality that represents the number of hot dogs per minute joey could eat for the last 9 minutes to break his record is:
9d + [tex]11\frac{1}{4}[/tex] > 72
Learn more about an inequality here:
https://brainly.com/question/19003099
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