Module 7.3 Lessons 1415.notebook
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Module 3, Lessons 14-15
Aim: Solving Inequalities
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Do Now:
Lesson 13 Exit Ticket
Homework: Lesson 14 Problem Set #1,3,5Lesson 15 Problem Set #2,3
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Preserved
Reversed
Reversed
Reversed
Reversed
Reversed
Preserved
Preserved
Preserved
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Solve the inequality
Interpret the solution
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Solve the inequality
Interpret the solution
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Discussion:1.) Recall the formula for profit is revenue - expenses. In this example, what represents the revenue and what represents the expenses?
2.) Why was the inequality "greater than or equal to" used?
3.) Was it necessary to reverse the inequality sign? Explain why or why not.
4.) Why is the answer 211 people versus 210 people?
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Example 1
A youth summer camp has budgeted $2000 for the campers to attend the carnival. The cost for each camper is $17.95, which includes general admission to the carnival and 2 meals. The youth summer camp must also pay $250 for the chaperones to attend the carnival and $350 for transportation to and from the carnival. What is the greatest amount of campers that can attend the carnival if the camp must stay within their budgeted amount?
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Example 1
A youth summer camp has budgeted $2000 for the campers to attend the carnival. The cost for each camper is $17.95, which includes general admission to the carnival and 2 meals. The youth summer camp must also pay $250 for the chaperones to attend the carnival and $350 for transportation to and from the carnival. What is the greatest amount of campers that can attend the carnival if the camp must stay within their budgeted amount?
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Example 2
The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the exhibit is displayed. The owner of the exhibit has no other expenses except for a daily insurance cost. If the owner of the animal exhibit wants to make more than $500 in profits for the days, what is the greatest daily insurance rate he can afford to pay?
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Example 2
The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the exhibit is displayed. The owner of the exhibit has no other expenses except for a daily insurance cost. If the owner of the animal exhibit wants to make more than $500 in profits for the days, what is the greatest daily insurance rate he can afford to pay?
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Example 3:
There are several vendors at the carnival who sell products and also advertise their business. Shane works for a recreational company that sells ATVs, dirt bikes, snowmobiles, and motorcycles. His boss paid him $500 for working all of the days at the carnival plut 5% commission on all of the sales made at the carnival. What was the minimum amount of sales Shane needed to sell if he earned more than $1,500?
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Example 3:
There are several vendors at the carnival who sell products and also advertise their business. Shane works for a recreational company that sells ATVs, dirt bikes, snowmobiles, and motorcycles. His boss paid him $500 for working all of the days at the carnival plut 5% commission on all of the sales made at the carnival. What was the minimum amount of sales Shane needed to sell if he earned more than $1,500?
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Closing:1.) How is the solution to an inequality interpreted?