Question

problem 1
jordan is on a road trip and is reading a map that has a scale of
1 inch : 20 miles.
the first part of the trip measures 4 inches on the map.
what is the actual distance of the trip?

problem 2
maria is traveling and is using a map with a scale of
2 inches : 60 miles.
her trip measures 6 inches on the map.
how many miles will maria travel?

problem 3
ethan is planning a trip. his map shows a scale of
1 inch : 15 miles.
the route measures 5 inches on the map.
what is the actual distance of the trip?

Explanation:

Problem 1

Step1: Identify the scale

The map scale is \(1\) inch : \(20\) miles, meaning \(1\) inch on the map represents \(20\) miles in reality.

Step2: Calculate actual distance

The map distance is \(4\) inches. To find the actual distance, multiply the map distance by the scale factor. So, \(4\times20 = 80\) miles.

Step1: Simplify the scale

The scale is \(2\) inches : \(60\) miles. Simplify it by dividing both by \(2\), so \(1\) inch : \(30\) miles.

Step2: Calculate travel distance

The map distance is \(6\) inches. Multiply by the simplified scale factor: \(6\times30 = 180\) miles.

Step1: Note the scale

The scale is \(1\) inch : \(15\) miles, so \(1\) inch on the map is \(15\) miles in real life.

Step2: Find actual distance

The map route is \(5\) inches. Multiply by the scale: \(5\times15 = 75\) miles.

Answer:

\(80\) miles

Problem 2