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)
+2
where is the amount Carlos earns each Saturday morning. Carlos must
earn at least $ each Saturday morning to have at least $200 in four weeks.
The inequality to represent the amount of money Carlos will need to earn each Saturday morning is:
2 + 30 + 4x ≥ 200
where x represents the amount Carlos earns each Saturday morning.
The solutions to this inequality will be the values of x that make the inequality true. In this case, those values will represent the amounts of money Carlos can earn each Saturday morning to save at least $200 in four weeks. To find the solutions, one can solve the inequality by subtracting 30 and 2 from both sides:
4x ≥ 200 - 30 - 2
4x ≥ 168
Then, divide both sides by 4 to solve for x:
x ≥ 168/4
x ≥ 42
So, the solutions are x ≥ 42. This means Carlos will need to earn at least $42 each Saturday morning to have at least $200 in four weeks.