Answer: A) x > 5.5 days
The inequality that can be used to determine the number of days,d, it will take Katie to collect over 100 seashells is 34 + 12d > 100
Given:
Total number of shells = greater than 100
Shells already collected = 34
Additional shells collected per day = 12
let
d = number of days
The inequality:
Shells already collected + (Additional shells collected per day × number of days) > Total number of shells
34 + (12 × d) > 100
34 + 12d > 100
12d > 100 - 34
12d > 66
d > 66 / 12
d > 5 1/2 days
Therefore, the number of days, d, it will take Katie to collect over 100 seashells is 5 1/2 days.