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 1/4 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?

Answer 1

d > 6 3/4

Explanation:

Given that:

72 hot dogs in 10 minutes is required to break Record ;

Consumption after 1 minute = 11 1/4 hot dogs

Number of hotdogs consumed per minute for the next 9 minutes = d

Number of consumption per minute required to break record :

d = (72 - 11 1/4) / 9

d = (60 3/4) ÷ 9

d = (243 / 4) * 1/9

d = 243 / 36

d = 6 3/4 hotdogs per minute

Hence, to break record. Consumption must be > 72 hotdogs in 10 minutes

Hence,

d > 6 3/4