For a model boat with a scale of 1 inch to 5 feet, how long will the model be if the real boat is 45 feet?

To determine the length of the model boat, it’s essential to apply the scale ratio correctly. The scale given is 1 inch in the model corresponds to 5 feet in reality.

To find the length of the model corresponding to a real boat that is 45 feet long, you first need to set up a proportion based on the scale.

1. Identify how many '5-feet' sections are in the actual length of the boat:

   • Divide the actual length by the scale factor: [ \frac{45 \text{ feet}}{5 \text{ feet per inch}} = 9 \text{ inches} ]

2. Thus, according to the scale, a 45-foot boat would be represented as a 9-inch model.

This aligns perfectly with the ratio provided, confirming that the calculated length of the model, 9 inches, is indeed accurate. Therefore, the choice indicating 9 inches reflects the proper application of the scale in converting the size of the real boat to the model size.