Central School is hosting a "Central Has Talent" show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after 1st wins $50 less than the previous place. Let x equal the amount of money first place wins. Which of the following expressions represents the total amount of prize money? Select all that apply.
Let's break down the problem step by step:
- First place wins x dollars.
- Second place wins $50 less than first place, which is (x - $50).
- Third place wins $50 less than second place, which is (x - $100).
To calculate the total amount of prize money, we need to add the amounts for each place:
Total amount of prize money = First place + Second place + Third place
= x + (x - $50) + (x - $100)
= 3x - $150
Therefore, the expression that represents the total amount of prize money is 3x - $150.
Answer: [3x - $150]