Final answer:
To find the scale of the model, set up a proporiton with the given wingspan measurements and solve for x. The scale of the model is 1 meter to 0.895 centimeters.
Step-by-step explanation:
To find the scale of the model, we can set up a proportion. We know that the wingspan of the actual Boeing 737 jet is 35.8 meters, and the wingspan of the scale model is 40 centimeters. We can set up the proportion as:
35.8 meters / 40 centimeters = x meters / 1 centimeter
Using cross-multiplication, we can solve for x. Multiplying 35.8 by 1 gives us 35.8, and multiplying 40 by x gives us 40x. So, the proportion becomes:
35.8 = 40x
Dividing both sides of the equation by 40, we get:
x = 0.895 meters
Therefore, the scale of the model is 1 meter to 0.895 centimeters.