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 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

Answer:

$d\geq 6.75$

Step-by-step explanation:

Joey need to eat at least 72 hot dogs in 10 mins

After 1 minute, Joey has eaten 11.25 hot dogs.

So Joey has to eat at least (72-11.25 = 60.75) hot dogs within 10 mins

This would imply at least $\frac{60.75}{9}=6.75$ hot dogs per minute

Therefore $d\geq 6.75$

Answer 2

Answer:

the inequality is 11 1/4 +9d is greater than 72

Step-by-step explanation:

Will joey break his record if he eats 6 hot dogs per minute for the next 9 minutes?

-No

*These are the answers from khan academy