Let's solve this problem step-by-step!
1. Understand the Problem:
- We know that 6 erasers cost [tex]\(\$6.60\)[/tex].
- We need to find the cost of 3 erasers.
2. Set up the Proportion:
- Since the problem involves finding the cost of a different number of erasers, we can use a proportion.
- Let [tex]\( x \)[/tex] be the cost of 3 erasers.
- We know that the cost of 6 erasers is [tex]\(\$6.60\)[/tex].
- We can set up a proportion where the ratio of the cost to the number of erasers is equivalent.
3. Choose the Correct Proportion:
- We can express this relationship as:
[tex]\[
\frac{\text{Cost of 3 erasers}}{3 \text{ erasers}} = \frac{\text{Cost of 6 erasers}}{6 \text{ erasers}}
\][/tex]
- This proportion form can be written as:
[tex]\[
\frac{x}{3} = \frac{\$6.60}{6}
\][/tex]
4. Identify the Correct Equation:
- Among the given choices, the equation that matches our derived proportion is:
[tex]\[
\frac{x}{3} = \frac{\$6.60}{6}
\][/tex]
- This is represented by option (D).
Therefore, the correct answer is:
[tex]\[ \boxed{D} \frac{x}{3} = \frac{\$6.60}{6} \][/tex]
