Question
Write inequalities to represent the situations below. \( \begin{array}{l}\text { The cargo of the truck weighs less than } \mathbf{3 , 0 0 0} \text { pounds. } \\ \text { Use } \mathbf{w} \text { to represent the weight (in pounds) of the cargo. } \\ \text { To get the } \mathbf{1 0 \%} \text { discount, a shopper must spend no less than } \$ 500 \text {. } \\ \text { Use d to represent the spending (in dollars) of a shopper who gets the discount. } \\ \square\end{array} \)
Ask by Adkins Fernandez. in the United States
Feb 19,2025
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Tutor-Verified Answer
Answer
w < 3000
d ≥ 500
Solution
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Bonus Knowledge
The weight of the cargo can be represented by the inequality \( w < 3000 \). This means that the weight must be strictly less than 3,000 pounds to meet safety and operational criteria for the truck. For the shopper seeking a 10% discount, the inequality is \( d \geq 500 \). This indicates that the shopper must spend at least $500 to qualify for the discount, ensuring a minimum purchase requirement for promotional offers.