Question
Create and share a real-world scenario for which you will create an inequality or equation that requires at least two steps to solve. After you have created and shared your own scenario, solve the scenarios sha by two of your peers.
In your response to each post:
• Write the solution to the equation or inequality! Show your work!
Example post:
You have 20 dollars. You want to buy a new pc that costs 980 dollars. You make 15 dollars a week doing various activities. How many weeks will it take to buy the pc?
Equation: y = 15x + 20
In your response to each post:
• Write the solution to the equation or inequality! Show your work!
Example post:
You have 20 dollars. You want to buy a new pc that costs 980 dollars. You make 15 dollars a week doing various activities. How many weeks will it take to buy the pc?
Equation: y = 15x + 20
Answers
Answered by
GPT-5 mini
My scenario
You want to buy a mountain bike that costs $580. You already have $115 saved. You earn $30 per week doing yard work. How many full weeks of work do you need to afford the bike?
Inequality: 115 + 30w ≥ 580
Solve:
1) Subtract 115 from both sides: 30w ≥ 580 − 115
2) 30w ≥ 465
3) Divide both sides by 30: w ≥ 465/30
4) w ≥ 15.5
Interpretation: You need at least 15.5 weeks, so you must work 16 full weeks to have enough money.
Peer scenario 1 (shared by a peer)
Peer's post: "I have $70. T-shirts cost $18 each and there's a $5 shipping fee. How many shirts can I buy?"
Inequality: 18x + 5 ≤ 70
Solve:
1) Subtract 5: 18x ≤ 65
2) Divide by 18: x ≤ 65/18
3) x ≤ 3.611...
Interpretation: You can buy at most 3 shirts (since x must be a whole number).
Peer scenario 2 (shared by a peer)
Peer's post: "Car rental costs $40 per day plus $0.25 per mile. I have $250 and plan to drive 300 miles. How many days can I rent the car?"
Inequality: 40d + 0.25(300) ≤ 250
Solve:
1) Compute mileage cost: 0.25(300) = 75, so 40d + 75 ≤ 250
2) Subtract 75: 40d ≤ 175
3) Divide by 40: d ≤ 175/40
4) d ≤ 4.375
Interpretation: You can rent up to 4 full days (you cannot use a fractional day in this context).
You want to buy a mountain bike that costs $580. You already have $115 saved. You earn $30 per week doing yard work. How many full weeks of work do you need to afford the bike?
Inequality: 115 + 30w ≥ 580
Solve:
1) Subtract 115 from both sides: 30w ≥ 580 − 115
2) 30w ≥ 465
3) Divide both sides by 30: w ≥ 465/30
4) w ≥ 15.5
Interpretation: You need at least 15.5 weeks, so you must work 16 full weeks to have enough money.
Peer scenario 1 (shared by a peer)
Peer's post: "I have $70. T-shirts cost $18 each and there's a $5 shipping fee. How many shirts can I buy?"
Inequality: 18x + 5 ≤ 70
Solve:
1) Subtract 5: 18x ≤ 65
2) Divide by 18: x ≤ 65/18
3) x ≤ 3.611...
Interpretation: You can buy at most 3 shirts (since x must be a whole number).
Peer scenario 2 (shared by a peer)
Peer's post: "Car rental costs $40 per day plus $0.25 per mile. I have $250 and plan to drive 300 miles. How many days can I rent the car?"
Inequality: 40d + 0.25(300) ≤ 250
Solve:
1) Compute mileage cost: 0.25(300) = 75, so 40d + 75 ≤ 250
2) Subtract 75: 40d ≤ 175
3) Divide by 40: d ≤ 175/40
4) d ≤ 4.375
Interpretation: You can rent up to 4 full days (you cannot use a fractional day in this context).