The problem provides a blueprint scale of 4 inches to 3 feet. We need to complete a table that shows the actual length in feet for different blueprint lengths in inches.

1. Problem Description

The problem provides a blueprint scale of 4 inches to 3 feet. We need to complete a table that shows the actual length in feet for different blueprint lengths in inches.

2. Solution Steps

The scale is 4 inches : 3 feet. This means that for every 4 inches on the blueprint, the actual length is 3 feet. We can set up a proportion to solve for the actual length for each blueprint length. The ratio of blueprint length to actual length is constant:

$\frac{\text{blueprint length (in.)}}{\text{actual length (ft)}} = \frac{4}{3}$

We can find the actual lengths by multiplying the blueprint length by the ratio $\frac{3}{4}$.

- For a blueprint length of 12 inches:

Actual length = $12 \times \frac{3}{4} = 9$ feet

- For a blueprint length of 16 inches:

Actual length = $16 \times \frac{3}{4} = 12$ feet

- For a blueprint length of 20 inches:

Actual length = $20 \times \frac{3}{4} = 15$ feet

- For a blueprint length of 24 inches:

Actual length = $24 \times \frac{3}{4} = 18$ feet

3. Final Answer

Blueprint length (in.): 4, 8, 12, 16, 20, 24

Actual length (ft): 3, 6, 9, 12, 15, 18