Q32. - Algebra 1

Question

MODELS, An artist used interlocking building blocks to build a scale model of Kennedy Space Center, Florida. In the model, 1 inch equals 1.67 feet of an actual space shuttle. The model is 110.3 inches tall. How tall is the actual space shuttle? Round to the nearest tenth.

Step-by-Step Solution

Answer

The length of the actual space shuttle is $x=184.2\text{feet}$.

Step 1. Write down the given statement.

The given scale is:

1 inch = 1.67 feet

Step 2. By method of proportion.

Let the actual length of the shuttle be x. Therefore the proportion can be written as:

 $$\begin{gathered} \frac{1}{1.67}=\frac{110.3}{x} \\ 1\left(x\right)=110.3\left(1.67\right) \\ x=184.2\text{feet} \end{gathered}$$

Step 3. The conclusion from the length of the actual space shuttle.

The length of the actual space shuttle is $x=184.2\text{feet}$.