You have at must \( \$ 10 \) to spend on markers and note books. Markers cost \( \$ 1.25 \) each and Notebooks \( \$ 2.50 \) each. write and graph an inequality that represchts the numb. of markers and notebooks you can buy. Identify and Interpret two solutions of the inequalitu.
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Bonus Knowledge
Let \( x \) represent the number of markers and \( y \) represent the number of notebooks. The total cost can be expressed with the inequality: \( 1.25x + 2.50y \leq 10 \). To graph this inequality, you can first find the intercepts. Setting \( y = 0 \) gives \( x = 8 \) (8 markers), and setting \( x = 0 \) gives \( y = 4 \) (4 notebooks). Plot these points on a graph and shade below the line formed, as you're looking for all combinations of markers and notebooks that meet the cost constraint. For the solutions, if you choose \( (0, 4) \), you're buying 0 markers and 4 notebooks for exactly $10, which is the maximum number of notebooks you can buy. Alternatively, if you choose \( (5, 0) \), you're buying 5 markers for $6.25, leaving you with $3.75, which is less than your budget. Both solutions showcase ways to distribute your budget effectively between markers and notebooks!
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