Question

In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.





Set up and solve the proportion to find the distance between the penguins and the fish tank.

(3 points)
Set up the proportion: 30/54=





Cross Multiply: 30x=




Solve for x: x= feet

Answer 1

To find the distance between the penguins and the fish tank using the given paths, we can set up the proportion based on the information provided.

We have the proportion \( \frac{30}{54} = \frac{x}{d} \), where \( x \) is the distance between the penguins and the fish tanks, and \( d \) is the distance corresponding to the path from the whales to the sharks.

Since we don't have the value of \( d \) provided directly, we'll assume for the sake of completing this problem that \( d \) is 54 feet (the distance from the whales to the sharks).

Setting up the proportion correctly, we should have:

\[
\frac{30}{54} = \frac{x}{54}
\]

Now, we can cross-multiply:

\[
30 \cdot 54 = 54 \cdot x
\]

This simplifies to:

\[
1620 = 54x
\]

Now, solve for \( x \):

\[
x = \frac{1620}{54}
\]
\[
x = 30
\]

Thus, the distance between the penguins and the fish tank is **30 feet**.

### Summary:
- Set up the proportion: \( \frac{30}{54} = \frac{x}{54} \)
- Cross Multiply: \( 30 \cdot 54 = 54 \cdot x \)
- Solve for \( x \): \( x = 30 \) feet.