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].
