Dimitri is to plan the school talent show. each performer for the talent show has 6 minutes for his or her performance, which includes transition time between performances. if the introduction for the talent show is 24 minutes long and the entire show, including the introduction, will last 150 minutes, how many different performances can the talent show accommodate? a) 21 b) 24 c) 25 d) 29

Option A. 21 performances.

Step-by-step explanation:

Let x is the number of performances the talent show can accommodate.

Each performer for the talent show can perform = 6 minutes

So in x performances time consumed = 6x minutes

If the introduction for the talent show is 24 minutes then time consumed = (6x + 24) minutes

This time consumed is equal to 150 minutes so the equation formed will be

6x + 24 = 150

6x = 150 - 24

6x = 126

x = performances.

Therefore, option A. 21 will be the answer.