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A scale drawing of a truck is shown.

Use the ratio table to find the length of the actual truck.

\begin{tabular}{|c|c|}
\hline
Scale Drawing (in.) & Actual Truck (ft) \\
\hline
2 & 8 \\
\hline
6 & 24 \\
\hline
\end{tabular}

What is the scale factor from the drawing to the actual truck?

Scale [tex]$= 2$[/tex] in. [tex]$: 8$[/tex] ft

The scale factor is [tex]$\square$[/tex].

Sagot :

GinnyAnsweridn
Okay, let's find the scale factor from the scale drawing to the actual truck. Here is the step-by-step solution:

1. Identify the given values:
- The length of the scale drawing is 2 inches.
- The length of the actual truck is 8 feet.

2. Understand the concept of a scale factor:
- A scale factor is a number by which a quantity is multiplied to scale or resize it. It connects the dimensions of the drawing to the dimensions of the actual object.

3. Set up the ratio with given data:
- We have 2 inches in the scale drawing corresponding to 8 feet for the actual truck.

4. Calculate the scale factor:
- To find the scale factor, you divide the length of the actual truck by the length of the scale drawing.

[tex]\[ \text{Scale Factor} = \frac{8 \text{ feet}}{2 \text{ inches}} \][/tex]

5. Perform the division:

[tex]\[ \text{Scale Factor} = \frac{8}{2} = 4 \][/tex]

Therefore, the scale factor from the scale drawing to the actual truck is [tex]\( 4 \)[/tex].

So, the scale factor is [tex]\( \boxed{4.0} \)[/tex].
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