Question

1. a model ship is built to a scale of 1 cm represents 5 meters. the length of the model is 30 cm. what is the length of the actual ship?

Explanation:

Step1: Set up the proportion

Let \( x \) be the length of the actual ship. The proportion is \( \frac{1\ \text{cm}}{5\ \text{m}}=\frac{30\ \text{cm}}{x} \).

Step2: Cross - multiply

Cross - multiplying gives \( 1\times x = 5\times30 \).

Step3: Solve for \( x \)

\( x=150 \)

Answer:

The length of the actual ship is \( 150 \) meters.