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)

Question

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)

x+
≥
, 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.
explain

Answer 1

The inequality for the amount of money Carlos will need to earn each Saturday morning is x ≥ (200 - 30) / 4.

This means that Carlos must earn at least (200 - 30) / 4 = $42.5 each Saturday morning to have at least $200 in four weeks.

The solutions to this inequality are all values of x that are greater than or equal to $42.5. Carlos can earn any amount greater than or equal to $42.5 each Saturday morning to reach his goal of saving at least $200 in four weeks.