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\begin{tabular}{l} Question \\ Translate the phrase into an algebraic expression: 49 dollars for \( x \) lessons. \\ Select the correct answer below: \\ \begin{tabular}{l}\( \frac{49 \text { lessons }}{x \text { dollars }} \) \\ \( \frac{x \text { dollars }}{49 \text { lessons }} \) \\ \( \frac{x \text { lessons }}{49 \text { dollars }} \) \\ \( \frac{49 \text { dollars }}{x \text { lessons }} \) \\ \hline\end{tabular} \\ \hline\end{tabular}

Ask by Johnston Mullins. in the United States
Mar 16,2025

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The correct algebraic expression is \( \frac{49 \text{ dollars}}{x \text{ lessons}} \).

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When you're translating a phrase into an algebraic expression, it's crucial to pay attention to the order of what's given. In this case, you have 49 dollars being exchanged for \( x \) lessons, which implies a rate of dollars per lesson. The correct interpretation would mean you're expressing dollars in relation to lessons, leading us to the expression \( \frac{49 \text{ dollars}}{x \text{ lessons}} \) — this is the value of each lesson based on the total cost of 49 dollars. In real-world situations, such expressions come in handy frequently. For instance, if a tutoring service charges 49 dollars for a certain number of lessons, you might want to quickly determine how much each lesson costs. This way, when comparing offers from different tutors or classes, you can easily find the most cost-effective option for your learning goals—ensuring that your education investment pays off!

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