Question

1. school dance

the student council is planning a dance. they can spend at most $600 on decorations and supplies. decorations cost $150, and each supply pack costs $20.
write an inequality to represent how many supply packs p they can buy.

1. saving for a laptop

jordan wants to buy a laptop that costs $750. he already has $200 saved and plans to earn $50 each week doing yard work.
write an inequality to represent how many weeks w it will take jordan to have at least enough money for the laptop.

1. basketball practice

the coach wants the players to run at least 50 laps each week.
each practice they run 12 laps.
write an inequality that shows how many practices p the team needs to meet the goal.

Explanation:

Step1: Define total cost for dance

Total cost = Decorations + (Cost per pack × number of packs). Total cost ≤ $600.
$150 + 20p \leq 600$

Step2: Define total savings for laptop

Total savings = Saved money + (Earnings per week × weeks). Total savings ≥ $750.
$200 + 50w \geq 750$

Step3: Define total laps for practice

Total laps = Laps per practice × number of practices. Total laps ≥ 50.
$12p \geq 50$

Answer:

1. $150 + 20p \leq 600$
2. $200 + 50w \geq 750$
3. $12p \geq 50$