while on a beach vacation,tasha makes a scale drawing of points of interest between two pairs. on her drawing, 2 centimeters (cm) represents 0.5 mile(mi). the peirs are 12 cm apart on tashas drawing. what is the actual distance between the two peirs 

To determine the actual distance between the two piers, we use the scale ratio provided in the problem.

### Given:
- **Scale**: 2 centimeters (cm) = 0.5 miles (mi)
- **Distance on the drawing**: 12 cm

### Step 1: Set up the ratio
We know that 2 cm represents 0.5 mi. To find the number of miles represented by 12 cm, we can set up a proportion:

\[
\frac{2 \, \text{cm}}{0.5 \, \text{mi}} = \frac{12 \, \text{cm}}{x \, \text{mi}}
\]

Where \(x\) is the actual distance between the piers in miles.

### Step 2: Solve for \(x\)
Now, cross-multiply and solve for \(x\):

\[
2 \cdot x = 12 \cdot 0.5
\]

\[
2x = 6
\]

\[
x = \frac{6}{2} = 3
\]

### Final Answer:
The actual distance between the two piers is **3 miles**.

Would you like more details on how proportions work or have any other questions?

Here are 5 related questions to further your understanding:
1. How would the result change if the scale was 1 cm = 1 mile?
2. If the drawing distance was 8 cm, what would the actual distance be?
3. Can you find the actual distance if the scale is 3 cm = 1 mile and the drawing distance is 9 cm?
4. How do we use unit conversion to solve scale problems involving kilometers instead of miles?
5. What happens to the scale if the drawing distance doubles but the actual distance stays the same?

**Tip:** Always set up a proportion when dealing with scale drawings to easily convert between measurements on the drawing and actual distances.

While on a beach vacation, Tasha makes a scale drawing of points of interest between two piers. On her drawing, 2 centimeters (cm) represents 0.5 miles (mi). The piers are 12 cm apart on Tasha's drawing. What is the actual distance between the two piers?

Learn how to solve a scale drawing problem involving the distance between two piers. Given a scale of 2 cm = 0.5 miles, this problem covers proportions and unit conversion. Suitable for students in Grades 6-8.

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