Question

Jeannette is participating in a hot dog eating contest. She has already eaten 15 hot dogs but needs to eat more than 32 hot dogs to win. Jeannette is eating 2.7 hot dogs per minute. Which of the following inequalities could be used to solve for x, the number of minuet Jeanette needs to eat hot dogs to win the contest?

Answer 1

`15+2.7>32`

Explanation:

If Jeannette is eating 2.7 hot dogs per minute, the after
`x` minutes, she would have eaten
`2.7x` hot dogs.

Furthermore, if Jeannette has already eaten 15 hot dogs, then after
`x` minutes she should have eaten a total of

`15+2.7x`

hot dogs.

Since Jeannette needs to eat more than 32 hot dogs, then after
`x` minutes she should have eaten more than 32 hot dogs:

`15+2.7x>32`

This inequality can be solved for
`x` to find the number of minutes Jeannette needs to win the contest.

When solved, the solution is

`x>6.3`