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8. fifty students are trying to raise at least $12,500 for a class trip…

Question

  1. fifty students are trying to raise at least $12,500 for a class trip. they have already raised $1,250. how much should each student raise, on average, in order to meet the goal? write and solve the two-step inequality for this problem.

Explanation:

Step1: Define variable & set inequality

Let $x$ = average per student.
Total raised: $1250 + 50x \geq 12500$

Step2: Subtract 1250 from both sides

$50x \geq 12500 - 1250$
$50x \geq 11250$

Step3: Divide by 50 to solve for $x$

$x \geq \frac{11250}{50}$
$x \geq 225$

Answer:

Each student should raise at least $\$225$ on average. The solved inequality is $x \geq 225$.