Question

Carter is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 9 miles. City X City Y 2 in. What is the actual distance between the two cities?

Answer 1

the distance is 72 miles

Explanation:

According to the scale drawing, the distance between City X and City Y is 2 inches. Since the scale is ¼ inch = 9 miles, we can set up the following proportion to find the actual distance between the two cities:

¼ inch : 9 miles = 2 inches : x miles

We can simplify this proportion by cross-multiplying:

¼ inch * x miles = 2 inches * 9 miles

Simplifying further, we have:

x miles = (2 inches * 9 miles) / ¼ inch

x miles = 18 * 4

x miles = 72

Therefore, the actual distance between City X and City Y is 72 miles.