Question

solutions to real - world inequality problems practice
complete this assessment to review what youve learned. it will not count toward your grade.
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)
$\square x + \square \geq \square$, where $x$ is the amount carlos earns each saturday morning. carlos must earn at least $\square$ each saturday morning to have at least $200 in four weeks.

Explanation:

Step1: Define variable & total earnings

Let $x$ = amount earned per Saturday.
Total earned in 4 weeks: $4x$

Step2: Add mom's gift to total

Total savings: $4x + 30$

Step3: Set up inequality for goal

Total savings ≥ $200$:
$4x + 30 \geq 200$

Step4: Isolate the $x$ term

Subtract 30 from both sides:
$4x \geq 200 - 30$
$4x \geq 170$

Step5: Solve for $x$

Divide both sides by 4:
$x \geq \frac{170}{4}$
$x \geq 42.5$

Answer:

Inequality: $4x + 30 \geq 200$
Carlos must earn at least $\$42.50$ each Saturday morning to have at least $\$200$ in four weeks.