Question6 erasers cost $\$ 6.60$ . Which equation would help determine the cost of 3 erasers? Choose 1 answer: (A) $\frac{3}{x}=\frac{\$ 6.60}{6}$ (B) $\frac{3}{6}=\frac{\$ 6.60}{x}$ (C) $\frac{x}{3}=\frac{6}{\$ 6.60}$ (D) $\frac{x}{3}=\frac{\$ 6.60}{6}$ (E) None of the above

Studdy Solution

STEP 1

1. The cost of 6 erasers is given as $\$6.60$ .
2. The cost of 3 erasers is to be determined.
3. The cost per eraser is the same regardless of the number of erasers purchased.
4. The relationship between the number of erasers and their total cost is linear.

STEP 2

1. Set up the proportion based on the cost of 6 erasers to find the cost of 3 erasers.
2. Identify the correct equation from the given options that represents this proportion.

STEP 3

Set up the proportion for the cost of 6 erasers to determine the cost of 3 erasers. Let $x$ be the cost of 3 erasers.
$\frac{6 \text{ erasers}}{\$ 6.60} = \frac{3 \text{ erasers}}{x}$

STEP 4

Rewrite the proportion to match the format of the given options. The correct proportion that matches the given options is:
$\frac{3 \text{ erasers}}{x} = \frac{6 \text{ erasers}}{\$ 6.60}$
This corresponds to the equation:
$\frac{x}{3} = \frac{\$ 6.60}{6}$
Therefore, the correct answer is option (D).

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