Which equation would help determine the cost of 6 pencils? Choose 1 answer: (A) \( \frac{6}{x}=\frac{9}{\$ 7.74} \) (B) \( \frac{x}{6}=\frac{9}{\$ 7.74} \) (C) \( \frac{9}{6}=\frac{x}{\$ 7.74} \) (D) \( \frac{6}{x}=\frac{\$ 7.74}{9} \) (E) None of the above

To determine the cost of 6 pencils, we need to establish a relationship between the number of pencils and their cost. Let's denote: - \( x \) as the cost of 6 pencils. - The cost of 9 pencils is given as \$7.74. We can set up a proportion based on the cost per pencil. The cost per pencil for 9 pencils is: \[ \text{Cost per pencil} = \frac{7.74}{9} \] Now, if we want to find the cost of 6 pencils, we can express it as: \[ \text{Cost of 6 pencils} = 6 \times \text{Cost per pencil} = 6 \times \frac{7.74}{9} \] This can be rearranged into a proportion: \[ \frac{6}{x} = \frac{9}{7.74} \] This means that the correct equation to determine the cost of 6 pencils is: (D) \( \frac{6}{x}=\frac{\$ 7.74}{9} \) Thus, the answer is (D).