hiking question

Question

While planning a hiking trip, you examine a map of the trail you are going on a hike. The scale on the map shows that 2 inches represent 5 miles.

If the trail measures 16 inches on the map, how long is the trail?

Answer 1

While planning a hiking trip, you examine a map of the trail you are going on a hike. The scale on the map shows that 2 inches represent 5 miles.

If the trail measures 16 inches on the map, how long is the trail?

If two inches is 5 miles then you can make a table

2 inches=5miles

4 inches=10 miles

6 inches=15 miles

You can continue this until you reach 16 inches.

Answer 2

2 inches = 5 miles

4 inches = 10 miles

6 inches = 15 miles

8 inches = 20 niles

10 inches = 25 miles

12 inches = 30 miles

14 inches = 35 miles

16 inches = 40 miles

Notice: 16 / 2 = 8, So there are 8 5-mile increases, or 40 miles.

Answer 3

Could also set up a proportion equation: 2 in/5 mi = 16in/x mi or equivalent. In this case I have put the map readings on top and the actual distance on the bottom. Any other arrangement that's consistent will work also.

Solve by cross-multiplication: 2x = 80, so x = 40 miles

Answer 4

This question is essentially a proportion.

If we know that 2 inches will equal 5 miles, we can say that 4 inches would equal 10 miles, and 6 inches would equal 15 miles.

The pattern that we are observing shows that with every 2 inch increase, the number of miles will also increase by 5 miles.

So, we can conclude that 16 inches will result in a trail that is 40 miles long.