Carlos hopes 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.

Question

Carlos hopes 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.
___ 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.

GPT 3.5 · Answer

Let's suppose Carlos earns $x each Saturday morning.

The amount of money Carlos will need to earn each Saturday morning can be represented by the inequality:

4x + 30 ≥ 200.

This inequality states that the sum of four times the amount Carlos earns each Saturday morning ($4x) and the $30 his mom gives him (30) must be greater than or equal to $200.

The solutions to this inequality represent the values of x that satisfy the condition. In this case, the solutions represent the possible amounts of money Carlos can earn each Saturday morning to have at least $200 in four weeks.