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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.

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?
Responses
A 8 people8 people
B 4 people4 people
C 5 people5 people
D 7 people7 people
E 6 people6 people

D 7 people7 people

How do you determine the opinion of a speaker in a collaborative discussion?(1 point)

Responses

through their reasons
through their reasons

through their reflection
through their reflection

through their claim
through their claim

through their evidence
through their evidence

through their claim

What can happen if a claim is not backed up by the proper reasons and evidence? (1 point)

Responses

It will prove that the claim is incorrect.
It will prove that the claim is incorrect.

It will change the opinion of the person making the claim.
It will change the opinion of the person making the claim.

The audience will be satisfied with the claim.
The audience will be satisfied with the claim.

The audience will not believe the claim.
The audience will not believe the claim.

The audience will not believe the claim.

To find the minimum number of people for the group rate to be a better deal, we need to compare the total cost of both options.

Option 1: Individual Rate: $12.99 per person
Option 2: Group Rate: $8.99 per person + $20 reservation fee

Let's calculate the cost for each option:

Option 1:
Cost per person = $12.99
Total cost for x people = $12.99 * x

Option 2:
Cost per person = $8.99
Reservation fee = $20
Total cost for x people = ($8.99 * x) + $20

Now, we need to find the minimum number of people (x) for which the group rate is a better deal. This means the total cost for option 2 should be less than the total cost for option 1.

Equation:

($8.99 * x) + $20 < $12.99 * x

Let's solve this inequality:

$8.99 * x + $20 < $12.99 * x
$20 < $12.99 * x - $8.99 * x
$20 < $4 * x
$5 < x

So, the minimum number of people (x) for the group rate to be a better deal is 5.

Therefore, the correct answer is C: 5 people.