Question

this series of problems will build your fluency with interpreting a scaling relationship between an actual object and its scale model or drawing. for each question below, consider the 1: k scaling relationship.
● use the answer key to determine that you accurately identified the scale factor.
● use equivalent ratios to confirm that your solution is accurate.
● if necessary, revise your work.

1. nash is obsessed with airplanes and wants a boeing 747 for their birthday. unfortunately, an airplane is very expensive and definitely will not fit in nashs apartment, so their parents bought them a model airplane for their birthday. if a real boeing 747 is 612 ft long, how long is the 1:250 model that nash received?

Explanation:

Step1: Set up the ratio

The scale is \(1:250\), which means \(\frac{\text{model length}}{\text{actual length}}=\frac{1}{250}\). Let \(x\) be the model length. The actual length is \(612\) ft. So, \(\frac{x}{612}=\frac{1}{250}\).

Step2: Solve for \(x\)

Cross - multiply: \(250x = 612\times1\). Then \(x=\frac{612}{250}\).

$$x = 2.448$$

Answer:

\(2.448\) ft