Answer:
The Inequality is [tex]\frac{45}{4}+9x>72[/tex].
Step-by-step explanation:
Given:
Total minutes to break record = 10 minutes
Number of hot dogs to be eaten to break record more than 72 hot dogs
so we can add 1 more to counting as the record is of 72 and to break the record he need to eat at least 73 hot dogs
Number of hot dogs ate in 1 min = [tex]11\frac{1}{4}[/tex]
[tex]11\frac{1}{4}[/tex] can be rewritten as [tex]\frac{45}{4}[/tex]
We need to find number of hot dogs per minute Joey could eat for the last 9 minutes to break his record.
Let the number of hot dogs to be eat in 1 minute be 'x'.
So We can say that;
Number of hot dogs ate in 1 min plus Number of mins left multiplied by number of hot dogs to be eat in 1 minute should be greater than or equal to Number of hot dogs to be eaten to break record.
framing in equation form we get;
[tex]\frac{45}{4}+9x>72[/tex]
Hence the Inequality is [tex]\frac{45}{4}+9x>72[/tex].
