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

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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).
The correct equation to determine the cost of 6 pencils is $$ \frac{6}{x} = \frac{7.74}{9} $$, which is option (D).

Which equation would help determine the cost of 6 pencils?
Choose 1 answer:
(A)
(B)
©
(D)
(E) None of the above

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Which equation would help determine the cost of 6 pencils? Choose 1 answer: (A) (B) © (D) (E) None of the above