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As part of a landscaping project, Mr. Buchanan is purchasing plants from a garden center. It will cost \( \$ 37 \) to buy a mature tree, versus \( \$ 9 \) for a young one. His target is to keep the cost under \( \$ 710 \). Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. \[ \begin{array}{l}\quad x=\text { the number of mature trees } \\ 37 x+9 y<710 \\ 37 x+9 y \geq 710 \\ 37 x+9 y>710\end{array} \] \( \begin{array}{l}37 x+9 y \leq 710\end{array} \)

Ask by Gough Johnston. in the United States
Feb 04,2025

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The appropriate inequality is \( 37x + 9y \leq 710 \).

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Extra Insights

To tackle Mr. Buchanan's landscaping budget, we want to ensure that he doesn't overspend. The correct inequality to describe the situation is \( 37x + 9y \leq 710 \). This means that the total cost of mature trees (at $37 each) combined with the cost of young trees (at $9 each) must be less than or equal to $710. Checking your math can prevent costly mistakes! A common error in setting up inequalities is forgetting to correctly interpret the "less than" or "less than or equal to" signs. It’s crucial to define the variables and ensure they reflect the conditions of the problem accurately. Remember, understanding the problem is half the battle!

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