Question

5. On a treasure map, the actual distance is directly related to the scaled distance.
If 15 miles is represented by 3 centimeters, then how many centimeters on the
treasure map is equivalent to 135 miles?

Answer 1

15 miles=3 cm
1 mile=0.2cm

Therefore, 135 miles=135*0.2= 27 cm

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Answer 2

Answer:

The scaled distance on the treasure map that is equivalent to 135 miles is 27 centimeters.

Step-by-step explanation:

From the above question,

The actual distance is directly related to the scaled distance.  If it is 15 miles, it is represented by 3 centimeters.

We need to calculate how many centimeters on the treasure map are equivalent to 135 miles.

The actual distance by scaled distance = constant

We can use this relationship to solve the problem. We are told that 15 miles is represented by 3 centimeters on the treasure map. This gives us one data point to use in the equation above. We can write:

               $\frac{15}{3}$ = constant

Simplifying, we get:

               constant = 5

To find the scaled distance on the treasure map, which  is equivalent to 135 miles.

Let us consider this distance as "x" (in centimeters).

From the  above equation, we can consider:

 Actual distance / scaled distance = constant

                                                   $\frac{135}{x}$  = 5

By solving for x, we get:

                                     x =  $\frac{135}{5}$  

                                      x = 27

Hence, the scaled distance on the treasure map that is equivalent to 135 miles is 27 centimeters.

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