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 A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the​ highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new​ map?
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Answer:

The answer is "0.975"

Step-by-step explanation:

Please find the complete question in the attched  file.

Find the remaining distance inside the original map

[tex]\to \frac{9}{6}=1.5 \ in[/tex]

Dividing the value by 6 because there are 7 rest stop:

[tex]\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to x=29.25 \ miles[/tex]

Finding the diatance of the rest stop in the new map

Using proportion:

[tex]\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to x= \frac{29.25}{30}\\\\\to x=0.975 \ in[/tex]

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