SOLUTION: Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute

Question 917738: Joey Chestnut is trying to break his own world record for eating the most hot dogs and buns in 10 minutes. He needs to eat more than 72 hot dogs to break his record. After 1 minute of competition, Joey has eaten 10 hot dogs. His best friend, watching from the sidelines, wants to know the number of hot dogs per minute that Joey needs to eat for the next 9 minutes to break his own record.
Let d represent the number of hot dogs Joey eats per minute. Write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of hot dogs Joey eats per minute.
(That is an average rate, and could be a fraction, such as ).
Joey has minutes left.
In that time he will eat
hot dogs and buns.
He has already eaten hot dogs and buns.
His total will be hot dogs and buns.
That must be more than , so one inequality to represent the situation is
.

There are other equivalent inequalities:
<---><---><---><--->
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