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How do I answer the following problem? Discounts to the hockey game are given to groups...

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catd1115 | Middle School Teacher | (Level 3) Assistant Educator

Posted October 7, 2011 at 6:59 AM via web

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How do I answer the following problem?

Discounts to the hockey game are given to groups with more than 12 people.

1. Graph this solution on a number line.

2. What is the domain of this situation?

3. Will a church group with 12 members recieve a discount?

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taylormath | High School Teacher | (Level 2) Adjunct Educator

Posted October 7, 2011 at 8:18 AM (Answer #1)

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Since discounts start with groups more than 12 people, a discount will be given to groups that have 13 or more people in them.

1. The solution looks like x > 12 or the number of people is greater than 12. The first point graphed is on 13.  The consecutive numbers after 13 are also included.  So the number line has dots on 13, 14, 15, 16, 17, ... To show that the pattern continues to infinity, draw a bold arrow on the right side of the number line.

--------*---*--*--*-->

11 12 13 14 15 16

2.  The domain of the problem is the set of natural numbers.  Since there cannot be negative amount of people in a group and there has to be at least one person, the domain is {1,2,3,4,5,...}. When people are a part of the solution, fractions or decimals are not considered.  You wouldn't consider a group with 15.5 people in it.

3.  The church group with exactly 12 members will not get a discount.  The problem specifically states groups with more than 12 people.

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