Answer : 8 hot dogs per minute
[tex]\begin{gathered} \text{Joey ate 56 hot dogs during the first 7 minutes} \\ \text{ Using the work rate formula} \\ \text{Work = rate x time} \\ \text{The amount of hot dogs ate = 56} \\ \text{Time = 7 minutes} \\ \text{Work = rate x time} \\ 56\text{ = rate x 7} \\ \text{Make rate the subject of the formula} \\ \text{Rate = }\frac{56}{7} \\ \text{Rate = 8 hot dogs per minute} \\ He\text{ ate 8 hot dogs per minute} \end{gathered}[/tex]