Question

Lee is making a model of a stadium using a scale in which 0.5 inches equals 45 feet. If the actual length of the stadium is 480 feet, how long is the model, in inches? Your answer can be exact or rounded to two decimal places

Answer 1

To find the length of the model, we need to use the given scale and the actual length of the stadium. Using the scale ratio, we can calculate the length of the model by setting up and solving a proportion.

Step-by-step explanation:

To find the length of the model, we need to use the given scale and the actual length of the stadium. The scale is 0.5 inches = 45 feet. The actual length of the stadium is 480 feet.

To find the length of the model, we can use the ratio of the scale:

0.5 inches / 45 feet = x inches / 480 feet

Cross-multiplying and solving for x, we get:

x = (0.5 inches × 480 feet) / 45 feet = 5.33 inches

Therefore, the length of the model is approximately 5.33 inches.