To win a Play Station 5 at the arcade, I need 100,000 points. Right now, I have 90,500 points. Every time I go to the arcade, I can win 2,500 points.
So, my inequality is: 2,500d + 90,500 >= 100,000.
To solve this, I need to get rid of the 90,500 on the left side. So, I'll subtract 90,500 from both sides:
2,500d >= 9,500.
Now, I only have d on one side. To find out how many days I need, I divide both sides by 2,500:
d >= 3.8.
Since I can't have a fraction of a day, I need to round up to the nearest whole number.
So, I'll need to go to the arcade for at least 4 days to have enough points for the Play Station 5.
My inequality discussion involves having enough points at a local arcade to win a Play Station 5. I need at least 100,000 points to win the Play Station 5. I currently have 90,500 points. If I win 2,500 tickets every time I go to the arcade, how many days will I need to go to have enough points for the Play Station 5? My inequality statement looks like this: 2,500d + 90,500 >=100,000. I would take away 90,500 from both sides so that I'm left with 2,500d >= 9,500. Then, I will divide both sides by 2,500 and will get d>=3.8. I will need to go to the arcade for at least 4 days to have enough points for the Play Station 5.
make it like a 7th grader made it
9 answers
Next, read your peers’ inequalities. Respond to two of your peers by providing a unique real-world problem that could be solved with their inequality. Explain what if would look like to communicate the solution to your real-world problem clearly.
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sorry for not adding this earlier
Peer 1: Inequality - 3x + 5 >= 20
Real-World Problem: Let's say you have a basket of apples and you want to sell them at a local farmers market. Each apple costs $3 and you want to make at least $20 from selling them.
Solution: To find how many apples you need to sell, you can use the inequality 3x + 5 >= 20, where x represents the number of apples. First, subtract 5 from both sides to isolate 3x: 3x >= 15. Then, divide both sides by 3 to solve for x: x >= 5.
Communicating the Solution: To communicate the solution clearly, you would explain that you need to sell at least 5 apples to make $20 or more at the farmers market. You could create a sign stating "Each apple costs $3. Buy at least 5 apples to get $20 worth of apples!"
Peer 2: Inequality - 2p - 10 < 30
Real-World Problem: Imagine you are going shopping and you have a certain amount of money in your wallet. You want to make sure that after buying some items, you still have at least $30 left in your wallet.
Solution: To determine how much money you can spend, you can use the inequality 2p - 10 < 30, where p represents the money you start with. First, add 10 to both sides of the inequality to isolate 2p: 2p < 40. Then, divide both sides by 2 to find the maximum amount you can spend: p < 20.
Communicating the Solution: To communicate the solution clearly, you would explain that you can spend up to $20 from your wallet if you want to ensure you have at least $30 left. This could be mentioned to a friend or written as a reminder note before going shopping: "Remember, don't spend more than $20 if you want to have at least $30 left in your wallet."
Real-World Problem: Let's say you have a basket of apples and you want to sell them at a local farmers market. Each apple costs $3 and you want to make at least $20 from selling them.
Solution: To find how many apples you need to sell, you can use the inequality 3x + 5 >= 20, where x represents the number of apples. First, subtract 5 from both sides to isolate 3x: 3x >= 15. Then, divide both sides by 3 to solve for x: x >= 5.
Communicating the Solution: To communicate the solution clearly, you would explain that you need to sell at least 5 apples to make $20 or more at the farmers market. You could create a sign stating "Each apple costs $3. Buy at least 5 apples to get $20 worth of apples!"
Peer 2: Inequality - 2p - 10 < 30
Real-World Problem: Imagine you are going shopping and you have a certain amount of money in your wallet. You want to make sure that after buying some items, you still have at least $30 left in your wallet.
Solution: To determine how much money you can spend, you can use the inequality 2p - 10 < 30, where p represents the money you start with. First, add 10 to both sides of the inequality to isolate 2p: 2p < 40. Then, divide both sides by 2 to find the maximum amount you can spend: p < 20.
Communicating the Solution: To communicate the solution clearly, you would explain that you can spend up to $20 from your wallet if you want to ensure you have at least $30 left. This could be mentioned to a friend or written as a reminder note before going shopping: "Remember, don't spend more than $20 if you want to have at least $30 left in your wallet."
make it like a 7th grader made it
Peer 1: Inequality - 3x + 5 ≥ 20
Real-World Problem: You want to buy some video games from a store. Each video game costs $3 and you want to have enough money to buy them.
Solution: To find out how much money you need, you can use the inequality 3x + 5 ≥ 20, where x represents the number of video games. First, subtract 5 from both sides to get 3x ≥ 15. Then, divide both sides by 3 to find the total number of video games you can buy: x ≥ 5.
Communicating the Solution: To communicate the solution clearly, you would say that you need to buy at least 5 video games to have enough money. You could tell your friend, "I need to buy at least 5 video games if I want to have enough money. Each game costs $3, so if I buy 5 games, it will be enough!"
Peer 2: Inequality - 2p - 10 < 30
Real-World Problem: Imagine you want to go to a carnival and you have some money in your pocket. You want to make sure you have enough money left to buy snacks after playing games.
Solution: To figure out how much money you can spend on games, you can use the inequality 2p - 10 < 30, where p represents the money you start with. First, add 10 to both sides of the inequality to make it 2p < 40. Then, divide both sides by 2 to find the maximum amount you can spend on games: p < 20.
Communicating the Solution: To communicate the solution clearly, you would say that you can spend up to $20 on games if you want to have enough money left for snacks. You could write it down as a reminder, "Remember, don't spend more than $20 on games if you want to have money for snacks. Enjoy the carnival!"
Real-World Problem: You want to buy some video games from a store. Each video game costs $3 and you want to have enough money to buy them.
Solution: To find out how much money you need, you can use the inequality 3x + 5 ≥ 20, where x represents the number of video games. First, subtract 5 from both sides to get 3x ≥ 15. Then, divide both sides by 3 to find the total number of video games you can buy: x ≥ 5.
Communicating the Solution: To communicate the solution clearly, you would say that you need to buy at least 5 video games to have enough money. You could tell your friend, "I need to buy at least 5 video games if I want to have enough money. Each game costs $3, so if I buy 5 games, it will be enough!"
Peer 2: Inequality - 2p - 10 < 30
Real-World Problem: Imagine you want to go to a carnival and you have some money in your pocket. You want to make sure you have enough money left to buy snacks after playing games.
Solution: To figure out how much money you can spend on games, you can use the inequality 2p - 10 < 30, where p represents the money you start with. First, add 10 to both sides of the inequality to make it 2p < 40. Then, divide both sides by 2 to find the maximum amount you can spend on games: p < 20.
Communicating the Solution: To communicate the solution clearly, you would say that you can spend up to $20 on games if you want to have enough money left for snacks. You could write it down as a reminder, "Remember, don't spend more than $20 on games if you want to have money for snacks. Enjoy the carnival!"
shorter
Peer 1: Inequality - 3x + 5 ≥ 20
Real-World Problem: You want to buy video games that cost $3 each and have enough money to buy them.
Solution: If we use the inequality 3x + 5 ≥ 20, where x is the number of games, we find that x ≥ 5.
Communicating the Solution: To have enough money to buy the games, you need to buy at least 5 of them.
Real-World Problem: You want to buy video games that cost $3 each and have enough money to buy them.
Solution: If we use the inequality 3x + 5 ≥ 20, where x is the number of games, we find that x ≥ 5.
Communicating the Solution: To have enough money to buy the games, you need to buy at least 5 of them.
longer
Peer 1: Inequality - 3x + 5 ≥ 20
Real-World Problem: Let's say you're saving up to buy video games. Each game costs $3, and you want to make sure you have enough money to buy them.
Solution: To find out how many games you can buy, you can use the inequality 3x + 5 ≥ 20, where x represents the number of games you want to buy. First, you subtract 5 from both sides to isolate 3x: 3x ≥ 15. Then, divide both sides by 3 to determine the minimum number of games: x ≥ 5.
Communicating the Solution: If you want to have enough money to buy the games, you'll need to buy at least 5 of them. You might tell your friends, "I need to buy at least 5 games if I want to make sure I have enough money. Each game costs $3, so if I buy 5 games, it will cost $15, which is enough!" You could also create a budget or a savings plan to keep track of your progress.
Real-World Problem: Let's say you're saving up to buy video games. Each game costs $3, and you want to make sure you have enough money to buy them.
Solution: To find out how many games you can buy, you can use the inequality 3x + 5 ≥ 20, where x represents the number of games you want to buy. First, you subtract 5 from both sides to isolate 3x: 3x ≥ 15. Then, divide both sides by 3 to determine the minimum number of games: x ≥ 5.
Communicating the Solution: If you want to have enough money to buy the games, you'll need to buy at least 5 of them. You might tell your friends, "I need to buy at least 5 games if I want to make sure I have enough money. Each game costs $3, so if I buy 5 games, it will cost $15, which is enough!" You could also create a budget or a savings plan to keep track of your progress.
1 answer