On a plan scale where 1/8 of an inch equals 1 foot, how long would 2.5 inches represent?

On a plan scale where 1/8 of an inch equals 1 foot, how long would 2.5 inches represent?

• A. 10 feet
• B. 15 feet
• C. 20 feet
• D. 25 feet

Answer: (C)

To determine how long 2.5 inches represents on a plan scale where 1/8 of an inch equals 1 foot, you start by establishing the relationship between the inches on the scale and the actual feet. Since 1/8 of an inch is equivalent to 1 foot, you can first find out how many 1/8 inch segments are in 2.5 inches. This is done by converting 2.5 inches into eighths: 2.5 inches is the same as \(2.5 \div \frac{1}{8} = 2.5 \times 8\). Calculating that gives you: \(2.5 \times 8 = 20\) eighths of an inch. Since each of these eighths corresponds to 1 foot, 20 eighths of an inch would represent 20 feet in real life. Thus, the correct answer is that 2.5 inches on the plan scale equals 20 feet, aligning with choice C.

To determine how long 2.5 inches represents on a plan scale where 1/8 of an inch equals 1 foot, you start by establishing the relationship between the inches on the scale and the actual feet.

Since 1/8 of an inch is equivalent to 1 foot, you can first find out how many 1/8 inch segments are in 2.5 inches. This is done by converting 2.5 inches into eighths:

2.5 inches is the same as (2.5 \div \frac{1}{8} = 2.5 \times 8).

Calculating that gives you:

(2.5 \times 8 = 20) eighths of an inch.

Since each of these eighths corresponds to 1 foot, 20 eighths of an inch would represent 20 feet in real life.

Thus, the correct answer is that 2.5 inches on the plan scale equals 20 feet, aligning with choice C.