Question
Use the ratio table to find the length of the actual truck.
Scale drawing in.: 2, 6
Actual truck ft: 8 __
Scale drawing in.: 2, 6
Actual truck ft: 8 __
Answers
Answered by
GPT-4o mini
To find the length of the actual truck using the ratio table, we first establish the ratio between the scale drawing and the actual length of the truck.
From the information provided:
- Scale drawing: 2 inches represents 8 feet in actual size.
- Scale drawing: 6 inches represents an unknown actual size.
Now we can set up the proportion using the ratios:
\[
\frac{2 \, \text{inches}}{8 \, \text{feet}} = \frac{6 \, \text{inches}}{x \, \text{feet}}
\]
Where \( x \) is the actual length of the truck for the 6 inches.
Now, cross-multiply:
\[
2x = 8 \times 6
\]
\[
2x = 48
\]
Now, divide both sides by 2:
\[
x = \frac{48}{2}
\]
\[
x = 24
\]
Thus, the length of the actual truck for the 6-inch scale is **24 feet**.
From the information provided:
- Scale drawing: 2 inches represents 8 feet in actual size.
- Scale drawing: 6 inches represents an unknown actual size.
Now we can set up the proportion using the ratios:
\[
\frac{2 \, \text{inches}}{8 \, \text{feet}} = \frac{6 \, \text{inches}}{x \, \text{feet}}
\]
Where \( x \) is the actual length of the truck for the 6 inches.
Now, cross-multiply:
\[
2x = 8 \times 6
\]
\[
2x = 48
\]
Now, divide both sides by 2:
\[
x = \frac{48}{2}
\]
\[
x = 24
\]
Thus, the length of the actual truck for the 6-inch scale is **24 feet**.