Pregunta
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Ite Inequalities to represent the situations below. To be ellglble for financlal ald, a student must earn less than \( \$ \mathbf{3 0 , 0 0 0} \) per year. Use \( s \) to represent the yearly earnings (in dollars) of a student eligible for financial aid. \( \square \) The cargo of the truck welghs no more than \( \mathbf{2 , 7 0 0} \) pounds. Use \( \mathbf{w} \) to represent the weight (in pounds) of the cargo. \( \square \)

Ask by Kelley Garrett. in the United States
Feb 18,2025

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\( s < 30000 \) and \( w \leq 2700 \).

Solución

Let's represent the situations with inequalities as requested. 1. For the financial aid eligibility: - The condition states that a student must earn less than \( \$30,000 \) per year. We can express this as: \[ s < 30000 \] where \( s \) represents the yearly earnings of a student eligible for financial aid. 2. For the weight of the cargo: - The condition states that the cargo of the truck weighs no more than \( 2,700 \) pounds. This can be expressed as: \[ w \leq 2700 \] where \( w \) represents the weight of the cargo in pounds. Thus, the inequalities are: - \( s < 30000 \) - \( w \leq 2700 \)

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To represent the financial aid eligibility, the inequality is \( s < 30,000 \). This means that if a student wants to snag that financial aid, their yearly earnings must be less than $30,000. So, keep those earnings in check if financial assistance is what you desire! For the truck’s cargo weight, the inequality is \( w \leq 2,700 \). This tells us that the weight of the cargo cannot exceed 2,700 pounds. It's crucial to ensure that you don’t go over this limit to avoid any fines or safety hazards while on the road!

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