Final answer:
To find out how many miles each inch on the map represents, a proportion is used; for 3/4 inch equals 20 miles, it is determined that 1 inch would approximately equal 26.67 miles. However, this does not match any of the provided answer choices, indicating an error in the question or options.
Step-by-step explanation:
The question asks us to determine how many miles each inch on the map represents if 3/4 inch equals 20 miles. To solve this, we set up a proportion comparing the inches to miles.
First, we write the known ratio as 3/4 inch / 20 miles. We want to find the equivalent ratio for 1 inch, so we set up the proportion as:
(3/4 inch) / (20 miles) = (1 inch) / (x miles)
Now, we solve for x by cross-multiplying.
(3/4) * x = 1 * 20
x = (20 * 4) / 3
x = 80 / 3
x = 26.67 miles for each inch on the map approximately. However, since we are looking for an answer from a given set of options, the closest option to 26.67 is 27 miles, which is not present in the options a), b), c), or d). There must have been a mistake as none of the given answer choices match our calculation.