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The starting line for a race in Fulton is 1.2 miles from the finish line. On a map of the course, the starting and finish lines are 4 inches apart. What is the scale of the map?

User Dckrooney
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2 Answers

2 votes

Answer:

1 inch = 0.3 miles

Explanation:

We basically want to know how many miles in real life 1 inch on the map represents. We already know that 4 inches on the map corresponds to 1.2 miles in real life, but we need to find what 1 inch on the map corresponds to. Let's make a proportion:


(4)/(1.2) =(1)/(x)

Cross-multiply:

4x = 1.2

Divide by 4 from both sides:

x = 1.2/4 = 0.3

Thus, the scale is 1 inch = 0.3 miles.

Hope this helps!

User Ahmad Aghazadeh
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5.4k points
3 votes

Things to know before we start:

  • In real life, the starting line of the race in Fultion is 1.2 miles from the finish line.
  • On a map, the starting line of the race in Fultion is 4 inches from the finish line.

To find the scale, we can set up a proportion.

1.2mi/4in

Divide to find the scale.

1.2 / 4 = 0.3 miles.

Therefore the scale of the map is 0.3 miles = 1 inch.

Best of Luck!

User Steve Kuo
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4.9k points