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) earn at least \( \$ \square \) each Saturday morning to have at least \( \$ 200 \) in four weeks.

To determine how much Carlos needs to earn each Saturday morning, we can start by denoting the amount he earns each Saturday as \( x \). Over four weeks, if he earns \( x \) each week, then in total he will earn \( 4x \). Adding the \( \$30 \) his mom gave him, Carlos wants to have at least \( \$200 \). The inequality can be set up as: \[ 30 + 4x \geq 200 \] Now, solving for \( x \): \[ 4x \geq 170 \] \[ x \geq 42.5 \] This means Carlos needs to earn at least \( \$42.50 \) each Saturday morning. The solutions to this inequality show that as long as Carlos earns any amount equal to or greater than \( \$42.50 \), he will achieve his goal of saving at least \( \$200 \) in the next four weeks. If Carlos earns less than this amount, he will fall short of his savings target, so decision-making about how many hours he can work or if he can pick up extra shifts becomes crucial!