A map of a highway has a scale of 2 inchesequals39 miles. The length of the highway on the map is 9 inches. There are 7 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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calculista calculista · Answer 1 · 2019-04-15T16:01:35+02:00

Answer:

[tex]0.975\ in[/tex]

Step-by-step explanation:

step 1

Find the distance of the rest stop in the original map

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

Divide by 6 because there are 7 rest stop

Find the real distance of the rest stop using proportion

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

step 2

Find the distance of the rest stop in the new map

using proportion

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

ewomazinoade ewomazinoade · Answer 2 · 2022-03-11T10:53:40+01:00

The distance between the rest stops is 0.84 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

The actual length of the highway = (39 x 9) / 2 = 17.5 miles

Length of the highway on the new map - 175.5 / 30 = 5.86 inches

Distance between each rest stop = 5.86 / 7 = 0.84 inches

To learn more about scale drawings, please check: https://brainly.com/question/26388230