The distance in real between Clayton and Centerville when they are 10 in apart on the map is 30 miles.
The scale ratio of a model is the proportionate ratio of one of the model's linear dimensions to the equivalent characters in the original.
The scale ratio that is given to us is 2in:6mi, therefore, two inches on the map is equal to 6 miles in real, the ratio can be further reduced as,
[tex]\rm Scale\ ratio = \dfrac{2\ in}{6\ mi} = \dfrac{1\ in}{3\ mi}[/tex]
Now, as it is given that Clayton and Centerville are 10 in apart on the map, therefore, the distance between them in reality is,
[tex]\rm \dfrac{Map}{Real}=\dfrac{1\ in}{3\ mi}\\\\\\\dfrac{10\ in}{Real}=\dfrac{1\ in}{3\ mi}\\\\\\Real = \dfrac{10 \times 3}{1} = 30\ mi[/tex]
Hence, the distance in real between Clayton and Centerville when they are 10 in apart on the map is 30 miles.
Learn more about Scale Ratio:
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