To represent the constraints in this scenario as a system of inequalities, we need to consider the requirements given.
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The number of pencils (p) needed is at least twice the number of notebooks (n): \[ p \geq 2n \]
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The cost of the pencils and notebooks cannot exceed her budget of $100. The cost can be expressed as: \[ 0.25p + 4n \leq 100 \]
Based on the information provided, the correct representation of the constraints is:
\[ p \geq 2n \] \[ 0.25p + 4n \leq 100 \]
Therefore, the appropriate response from the options is:
- p ≥ 2n
- 0.25p + 4n ≤ 100
This matches the second option listed in your choices.