Carlos is hoping to save at least $200 in the next four weeks. His mom gives him $30, and he earns money each Sunday morning at his grandmother’s store. Write an inequality for the amount of money Carlos will need to earn each Sunday morning, and describe the solutions. Assume Carlos will earn the same amount each Saturday morning. 1$4x+ $302≥3$200, where x is the amount Carlos earns each Sunday morning. Carlos must earn at least 4$42.5each Sunday morning to have at least $200 in four weeks.
Provide a unique real-world problem that could be solved with this inequality.
A unique real-world problem that could be solved with this inequality is if Carlos wants to buy a video game that costs $200 in four weeks. Carlos's mom gives him $30 and he earns money each Sunday morning at his grandmother's store. Carlos needs to figure out how much money he needs to earn each Sunday in order to save at least $200 in four weeks. By setting up and solving the inequality 4x + 30 ≥ 200, where x is the amount Carlos earns each Sunday morning, Carlos can determine if he will be able to afford the video game.
show your work
To solve the inequality 4x + 30 ≥ 200, where x is the amount Carlos earns each Sunday morning, we need to isolate x.
Subtract 30 from both sides of the inequality:
4x ≥ 200 - 30
4x ≥ 170
Now, divide both sides of the inequality by 4:
x ≥ 170/4
x ≥ 42.5
Therefore, Carlos must earn at least $42.5 each Sunday morning in order to save at least $200 in four weeks.