Jeannette is participating in a hot-dog-eating contest. She has already eaten 18 hot dogs but needs to eat more than 36 hot dogs to win. Jeannette is eating 3.2 hot dogs per minute. Which of the following inequalities could be used to solve for x, the number of minutes Jeannette needs to continue eating hot dogs to win the contest?

1 answer

Let x be the number of minutes Jeannette needs to continue eating hot dogs.
The total number of hot dogs Jeannette needs to eat to win the contest is 36 + 1 = <<36+1=37>>37 hot dogs.
Jeannette has already eaten 18 hot dogs and needs to eat 37 - 18 = <<37-18=19>>19 more hot dogs.
The number of hot dogs Jeannette eats per minute is 3.2, so in x minutes, she eats a total of 3.2 * x = 19 hot dogs.
The inequality that represents this situation is:
3.2x > 19. Answer: \boxed{3.2x > 19}.