Question
\begin{tabular}{l} Which equation would help determine the cost of 13 markers? \\ Choose 1 answer. \\ (A) \( \frac{13}{\$ 5.79}=\frac{x}{3} \) \\ (B) \( \frac{x}{13}=\frac{3}{\$ 5.79} \) \\ (C) \( \frac{3}{\$ 5.79}=\frac{13}{x} \) \\ (D) 13 \\ \hline\end{tabular}\( \$ 5.79 \)
Ask by Hills Park. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The correct equation to find the cost of 13 markers is \( \frac{3}{\$5.79} = \frac{13}{x} \).
Solution
To determine the cost of 13 markers when you know that 3 markers cost \$5.79, you can set up a proportion that relates the number of markers to their cost.
The proportion should compare the cost per marker in each scenario:
\[
\frac{3 \text{ markers}}{\$5.79} = \frac{13 \text{ markers}}{x}
\]
This equation allows you to solve for \( x \), which represents the cost of 13 markers.
**Correct Answer:**
**(C) \( \frac{3}{\$5.79} = \frac{13}{x} \)**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the cost of 13 markers priced at $5.79, we need a proportional relationship that allows us to express the total cost as a ratio. Therefore, option (C) \( \frac{3}{\$ 5.79}=\frac{13}{x} \) is the best choice, as it relates the known cost of 3 markers to the unknown cost of 13 markers. If we analyze the cost per marker, the price of one marker is found by dividing $5.79 by 3, which gives us the cost of a single marker. This can then be multiplied by 13 to determine the total cost. A common misstep in these types of problems is neglecting to keep consistent units, so always double-check your conversions!
