Question

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

Answer 1

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.