Carlos is hoping to save at least $200 in the next four weeks. His mom gives him $30, and he earns money each Saturday morning at his grandmother's store. Write an inequality for the amount of money Carlos will need to earn each Saturday morning, and describe the solutions. Assume Carlos will earn the same amount each Saturday morning. (2 points)
4x + 30 > 200, where “X” is the amount carlos earns each saturday morning. Carlos must earn at least $__ each saturday morning to have at least $200 in four weeks
wrong
The inequality for the amount of money Carlos will need to earn each Saturday morning is 4x + 30 > 200, where "x" represents the amount Carlos earns each Saturday morning.
To find the amount Carlos needs to earn each Saturday morning, we first subtract 30 from both sides of the inequality: 4x > 170.
Next, we divide both sides of the inequality by 4 to isolate "x" and get x > 42.5.
This means Carlos must earn at least $42.50 each Saturday morning in order to have at least $200 in four weeks.
I apologize for the mistake. The correct inequality and description of the solutions should be:
Let's say Carlos earns $x each Saturday morning. The total amount of money he earns in four weeks would be 4x. Adding the $30 his mom gives him, his total savings would be 4x + 30.
According to the problem, Carlos is hoping to save at least $200 in the next four weeks. The inequality that represents this is:
4x + 30 ≥ 200.
The solutions to this inequality are all the values of x that make the inequality true. In this case, Carlos can earn any amount of money per Saturday morning that makes the total savings of 4x + 30 greater than or equal to $200.