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Answer:

The actual distance between the cities is 105 miles

Step-by-step explanation:

15 × 7 = 105

If two cities are 7 inches apart on the map then the actual distance between the​ cities will be 105 miles.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

On a​ map, 1 inch equals 15 miles. Then the scale factor will be

[tex]\rm Scale \ factor = 15 \ \ \ \dfrac{miles}{inch}[/tex]

If two cities are 7 inches apart on the map then the actual distance between the​ cities will be

[tex]\rm Actual \ length = 7 \ in. \times 15 \ \dfrac{miles}{in.}\\\\Actual \ length = 105 \ miles[/tex]

More about the dilation link is given below.

https://brainly.com/question/2856466

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