Known Information •Starts with $550 •Takes away $25 each week •Wants at least $200 in the end Variable and what it represents w= number of weeks money can last What’s the relationship? The money Andy has needs to be more (bigger) than 200 Inequality Solution and what it means 2. On vacation, Katelyn wanted to have her hair braided in multiple braids to cover her head. It costa flat rate of $4, plus $0.75 per braid. She had saved$29. How many braids can she get? Known Information Variable and what it represents What’s the relationship? Inequality Solution and what it means3. The Community Swimming Pool charges a flat rate of $50 for a birthday party plus $2.50 for each person. Deborah can’t spend more than $100. How many friends can she invite? Known Information Variable and what it represents What’s the relationship? Inequality Solution and what it means 87

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4. Maria is starting a small DVD business online. She makes $2.25 on each DVD she sells. To start her business though, she had to invest $750. How many DVDs does he need to sell before he starts to make a profit? Known Information Variable and what it represents What’s the relationship? Inequality Solution and what it means 5. David owns a Yellow Cab. The company charges a flat rate of $2.50 for every cab ride, plus $0.85 per mile. David figures he needs to average at least $12 for each cab ride to make a profit. At least how many miles must rides average to make a profit? Known Information Variable and what it represents Inequality Sign Inequality Solution and what it means 88

6. Jacques has a pre-paid phone plan. He has $45 to spend and each minute costs $0.39, what is the most minutes he can buy? Known Information Variable and what it represents Inequality Sign Inequality Solution and what it means 6. Harry wants to download some songs to his mp3 player. If he gets a $20 gift card for his birthday and each song costs $0.90, at most how many songs can he download? Known Information Variable and what it represents Inequality Sign Inequality Solution and what it means 89

6.3d Homework: Write and Solve Inequalities for Word Problems Write and solve inequalities for each word problem below. Use the structure from Class Activity 6.3d as a frame for solving each. 1.Kimberly took her 6 nieces and nephews to a hockey game. She wants to buy them snacks. How much can each child spend on snacks if Kimberly wants to spend less than $33? 2.The school is having a fundraiser. They are running a carnival. Tickets sell for $0.50 each. They are planning on buying supplies for the carnival that cost $50. How many tickets must they sell to raise at least $200? 3.Billy needs to read 500 minutes this week for his English class. He is going to read 6 days. If he already reads 15 minutes every day, how many additional minutes does he need each day to read at least 500 minutes? 4.Erin is buying cupcakes for her birthday party. Each cupcake costs $1.50. How many guests can she invite if her budget is $80 and she has already spent $16 on paper cups and plates? By the way, Erin thinks that each guest will want two cupcakes to eat. 5.Lauren got $321 from various relatives on her birthday. If she wants to put 20% of the money into her savings account, how much will she have left over to spend on new clothes?