You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per person.
When you check the company's website, you find that they also offer a special group rate. The group rate is only $8.99 per person, but also includes a $20 reservation fee in addition. What is the minimum number of people that would need to attend your party in order for the group rate to be a better deal?
A) 4 people
B) 5 people
C) 6 people
D) 7 people
The answer is 6 People. You make the two equations first 12.99x and 8.99x+20. And then make them equal each other 12.99x = 8.99x+20. Then you use algebra to solve for the x and you get an answer of 5. That is the number of people that would cause the two prices to break even (be the same price). So in order for the group rate to be the better deal you need 6 people to attend.
The correct answer is A) yes, the sum of each pair is greater than the third.
The triangle inequality theorem states that the sum of any two sides of a triangle is longer than the third side. This is true for these numbers, so this does form a triangle.
