Question

Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch? 0.2 inch 0.9 inch 4.2 inches 26.5 inches

Answer 1

The distance between the two schools on the map is (C) 4.2 inches.

What is the distance?

• Distance is a numerical measurement of the distance between two objects or places.
• The distance can refer to a physical length or an estimate based on other criteria in physics or common usage.
• The distance between two points A and B is commonly expressed as |AB|.

To find the distance:

On the map,2 inches represents 5 miles.

Thus, we can write:

• 2 miles = 2 inches
• 1 mile = 2/5 inches ..... (1)

Since the actual distance between the two schools is 10.6 miles.

Multiplying both sides by 10.6 in equation (1).

• 10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.

Therefore, the distance between the two schools on the map is (C) 4.2 inches.

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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?

(A) 0.2 inch

(B) 0.9 inch

(C) 4.2 inches

(D) 26.5 inches