MY QUESTION HOORAY

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 \[11 \dfrac{1}{4}\] hot dogs. Let \[d\] represent the number of hot dogs Joey eats per minute for the next \[9\] minutes.

Which inequality represents the number of hot dogs per minute Joey could eat for the last \[9\] minutes to break his record?

Answer 1

record is 72

after 1 minute he ate 11

9 minutes left

to break the record in the next 9 minutes he has to eat more than 61

that's 61/9 dogs per minute = 6.777... dogs/per min

he has to eat more than 61 in 9 minutes

d > 61/9

d> 6 7/9

d> 6.777...