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?
Choose 1 answer:
A

\[11\dfrac{1}{4}+9d>72\]
B

\[11\dfrac{1}{4}+9d=72\]
C

\[11\dfrac{1}{4}d+9>72\]
D

\[11\dfrac{1}{4}d+9=72\]
Will Joey break his record if he eats
\[6\] hot dogs per minute for the next
\[9\] minutes?
Choose 1 answer:
A
Yes
B
No

Answer 1

First part: A. 11 1/4 + 9d > 72.

Second part: B — No. If d = 6, total = 11.25 + 9·6 = 65.25, which is less than 72 (he would need d > 60.75/9 = 6.75 hot dogs/min).