Final answer:
Using the given rate of 13 hot dogs every 2 minutes, we calculate that it would take Jumbo Jerry 14 minutes to eat 91 hot dogs.
Step-by-step explanation:
The question asks how long it would take Jumbo Jerry, the hotdog eating champion, to eat 91 hot dogs if he can eat 13 hot dogs every 2 minutes. To find the answer, we set up a proportion where the number of hot dogs is directly proportional to the time taken.
Since Jerry eats 13 hot dogs in 2 minutes, we can write the ratio as 13 hot dogs / 2 minutes. We set this equal to 91 hot dogs / x minutes, where x is the time it will take Jerry to eat 91 hot dogs at the same rate.
We have 13/2 = 91/x. Cross-multiplication gives us 13x = 182. Solving for x, we get x = 182 / 13, which simplifies to x = 14. Therefore, Jumbo Jerry would take 14 minutes to eat 91 hot dogs at the same rate.