Module 4 lesson 34

Module 4 Lesson 34 Writing and Graphing Inequalities in RealWorld Problems.notebook
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Problem Set Lesson 33 Answers

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For Module 4 Review Bring in the
following 6 documents tomorrow:
• March 20 Quiz Lessons 1-8 & review
packet
• April 4 Mid-Module Assessment &
review packet
• May 12 Quiz Lesson 18-29 & review
packet

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MODULE 4 Expressions and Equaons
Topic H: Applicaon of Equaons
Lesson 34: Wring and Graphing Inequalies in
Real‐World Problems
Student Outcomes
§ Students recognize that inequalies of the form x < c and x > c, where x is a
variable and c is a ﬁxed number have inﬁnitely many soluons when the values of x
come from a set of raonal numbers.

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Example 2
Kelly works for Quick Oil Change.  If customers have to wait longer than 20 minutes
for the oil change the company does not charge for the service.  The fastest oil
change that Kelly has ever done took 6 minutes.  Show the possible customer wait
mes in which the company charges the customer.

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Example 3
Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to
work for at least six hours to save enough money but he must work less than 16
hours this week. Write an inequality to represent this situaon, and then graph the
soluon.

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Exercises
Write an inequality to represent each situaon. Then graph the soluon.
1. Blayton is at most 2 meters above sea level.
2. Edith must read for a minimum of 20 minutes.

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3. Travis milks his cows each morning.  He has never goen less than 3 gallons of
milk however he always gets less than 9 gallons of milk.
4. Rita can make 8 cakes for a bakery each day.  So far she has orders for more than
32 cakes.  Right now, Rita needs more than four days to make all 32 cakes.
5. Rita must have all the orders placed right now done
in 7 days or less. How will this change your inequality
and your graph?

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Extension
6. Kasey has been mowing lawns to save up money for a concert.  He earns $15 per
hour and needs at least $90 to go to the concert.  How many hours should he mow?
7. Rachel can make 8 cakes for a bakery each day.  So far she has orders for more
than 32 cakes.  How many days will it take her to complete the orders?

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8. Ranger saves $70 each week.  He needs to save at least $2,800 to go on a trip to
Europe.  How many weeks will he need to save?
9. Clara has less than $75.  She wants to buy 3 pairs of shoes.  What price shoes can
Clara aﬀord if all the shoes are the same price?

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10. A gym charges $25 per month plus $4 extra to swim in the pool for an hour. If
a member only has $45 to spend each month, at most how many hours can the
member swim?

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Closing
Please take out your exit ticket for Lesson 34, close your
binder, and complete the exit ticket. This will be collected.
§ How are inequalies diﬀerent from equaons?
ú Inequalies can have a range of possible values that make the statement
true, where equaons do not.
§ Does the phrase “at most” refer to being less than or greater than something?
Give an example to support your answer.
ú At most means that you can have that amount or less than that amount.
You cannot go over.  My mom says that I can watch at most 1 TV show aer I do
my homework.  This means that I can watch 1 or less than 1  TV show.

Module 4 lesson 34

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Module 4 lesson 34