Serena makes \( \$ 9 \) per hour cutting lawns. Each day, she earns about \( \$ 15 \) in tips. If Serena made no less than \( \$ 110 \) on Monday, which inequality represents \( h \), the number of hours she worked on Monday? \( \begin{array}{l}15 h+9 \leq 110 \\ 15 h+9 \geq 110 \\ 9 h+15 \geq 110 \\ 9 h+15<110\end{array} \)
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To find the correct inequality representing the situation, we can break it down: Serena earns \( 9h \) dollars from cutting lawns, and she also earns \( 15 \) dollars in tips. The total earnings must be no less than \( 110 \), which translates to the equation: \[ 9h + 15 \geq 110. \] So, the correct answer is: \( 9h + 15 \geq 110. \) Here's a fun fact: This situation translates to a classic "earnings problem" often used in algebra classes to teach inequalities. The concept of combining base earnings with variable factors like tips or bonuses makes it relatable and a handy way to understand inequalities in real life! Additionally, when solving this inequality, you might find it helpful to isolate \( h \). First, subtract 15 from both sides, which gives you \( 9h \geq 95 \). Then divide by 9 to find the minimum hours Serena needs to work for her desired earnings. Neat, right?