Final answer:
The correct inequality representing Cody's use of beads is c > 200, indicating Cody used more than 200 beads, as he used more than 5 times his sister's 40 beads.
Step-by-step explanation:
The question asks which inequality represents all possible values of c, the number of beads Cody used to make jewelry, given that Cody used more than 5 times as many beads as his sister, who used 40 beads. To find this, we multiply his sister's number of beads by 5 to understand Cody's minimum. So, 5 times 40 beads equal 200 beads. Since Cody used more than 5 times the number of beads his sister used, we are looking for a value of c that is greater than 200.
Therefore, the correct inequality to represent all possible values of c is c > 200. Option D is correct because it states that Cody used more than 200 beads, which aligns with the information provided in the question.