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

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
d= number of hot dogs Joey eats per minute.
(That d is an average rate, and could be a fraction, such as 9%261%2F2 ).
Joey has 10-1=9 minutes left.
In that time he will eat
9d hot dogs and buns.
He has already eaten 10 hot dogs and buns.
His total will be 9d%2B10 hot dogs and buns.
That must be more than 72 , so one inequality to represent the situation is
highlight%289d%2B10%3E72%29 .

There are other equivalent inequalities:
9d%2B10%3E72<--->9d%3E72-10<--->9d%3E62<--->d%3E62%2F9<--->highlight%28d%3E6%268%2F9%29