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.
I want to buy a Red Monster morph bearded dragon. The bearded dragon costs $2500. I have $500 saved. She will be old enough to be shipped in 2 months. 8x + $500 >= $2,500. After solving the equation, I will need to save $250 a week to have enough money when she is ready to be shipped.
Peer 1: Inequality - 8x + $500 >= $2,500
Real-world problem: Saving for a vacation
Solution: The inequality mentioned seems to be related to saving money over a specific period of time. A real-world problem that could be solved using this inequality is saving for a vacation. Let's say someone wants to go on a dream vacation that costs $5,000 and they have already saved $1,000. By using the inequality mentioned, they can calculate how much they need to save each week to reach the desired amount.
To communicate the solution clearly, one could create a budget plan. First, they should subtract the amount they have already saved from the total cost of the vacation: $5,000 - $1,000 = $4,000. Then, they can set up and solve the inequality: 8x + $1,000 >= $4,000.
By subtracting $1,000 from both sides, we get: 8x >= $3,000. Finally, divide both sides by 8 to find the weekly savings required: x >= $375.
Therefore, to have enough money for the vacation, they would need to save at least $375 per week.
Peer 2: Inequality - 8x + $500 >= $2,500
Real-world problem: Buying a new laptop
Solution: The inequality mentioned can be used to solve the problem of buying a new laptop. Let's say someone wants to purchase a high-end laptop that costs $2,500, and they have $500 saved. They plan to buy it in two months, and according to the inequality, they will need to save $250 a week to reach their goal.
To communicate the solution clearly, one could create a savings plan. First, subtract the amount they have already saved from the total cost of the laptop: $2,500 - $500 = $2,000. Then, set up and solve the inequality: 8x + $500 >= $2,000.
By subtracting $500 from both sides, we get: 8x >= $1,500. Finally, divide both sides by 8 to find the weekly savings required: x >= $187.50.
Therefore, to have enough money to buy the new laptop, they would need to save at least $187.50 per week. They could communicate this solution by creating a visual savings tracker, setting reminders, and creating a budget to ensure they reach their weekly savings goal.
shorter
Peer 1: Inequality - 8x + $500 >= $2,500
Real-world problem: Saving for a concert ticket
Solution: The inequality can be used to solve the problem of saving for a concert ticket. Let's say a ticket for the concert costs $2,500, and you have $500 saved. According to the inequality, you would need to save $250 per week to have enough money for the ticket in 2 months.
To communicate the solution clearly, you could create a savings plan. Subtracting the amount saved from the ticket cost gives $2,500 - $500 = $2,000. Then, set up and solve the inequality: 8x + $500 >= $2,000.
By subtracting $500 from both sides, we get: 8x >= $1,500. Dividing both sides by 8 gives x >= $187.50.
Therefore, by saving at least $187.50 per week, you would have enough money to buy the concert ticket. You can communicate this solution by setting up a weekly savings goal, tracking your progress, and adjusting your budget to ensure you meet the target.
more shorter
Peer 1: Inequality - 8x + $500 >= $2,500
Real-world problem: Saving for a designer handbag
Solution: The inequality provided can be applied to the problem of saving for a designer handbag. Suppose the handbag costs $2,500 and you currently have $500 saved. According to the inequality, you would need to save $250 per week for 8 weeks to have enough money to purchase the handbag.
To clearly communicate the solution, you can create a savings plan. Start by subtracting your current savings from the cost of the handbag: $2,500 - $500 = $2,000. Then, set up and solve the inequality: 8x + $500 >= $2,000.
By subtracting $500 from both sides, we get: 8x >= $1,500. Dividing both sides by 8 gives x >= $187.50.
Hence, by saving at least $187.50 per week for 8 weeks, you will accumulate enough funds to buy the designer handbag. To communicate this solution effectively, you can set up a visual savings tracker, create automatic transfers to a savings account, and regularly review your progress to ensure you meet your weekly savings goal.
make it like a 7th grader made it
Peer 1: Inequality - 8x + $500 ≥ $2,500
Real-world problem: Saving for a new game console
Solution: The inequality you gave can help us figure out how to save money for a new game console. Let's say the console costs $2,500, and you have $500 already saved. According to the inequality, you'll need to save $250 per week for two months to have enough money.
To explain this solution, you can make a plan. First, subtract the money you already saved from the console price: $2,500 - $500 = $2,000. Then, set up and solve the inequality: 8x + $500 ≥ $2,000.
Next, subtract $500 from both sides to get: 8x ≥ $1,500. Finally, divide both sides by 8 to find out the amount you need to save per week: x ≥ $187.50.
So, if you save at least $187.50 every week for two months, you'll have enough money to buy the game console. You can show this plan by using a savings chart, setting reminders on your phone, and maybe even creating a budget to make sure you reach your weekly saving goal.