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 to the cost per person.
What is the maximum number of people that could attend your party in order for the individual admission rate to be a better deal?
both graphs have the same price at 6 people
A. 2 people
B. 3 people
C. 4 people
D. 5 people
E. 6 people
To determine the maximum number of people that could attend the party for the individual admission rate to be a better deal, we need to compare the total cost per person for both options.
For the individual admission rate, each person pays $12.99.
For the group rate, each person pays $8.99 plus the $20 reservation fee, which is divided among the total number of people attending.
Let's set up an equation to compare the two options:
12.99 = (8.99 + 20)/x
where x is the number of people attending.
Simplifying the equation, we have:
12.99x = 8.99 + 20
12.99x = 28.99
Dividing both sides by 12.99, we find:
x = 28.99/12.99
x ≈ 2.23
The maximum number of people that could attend the party in order for the individual admission rate to be a better deal is 2 people.
Therefore, the answer is A. 2 people.