Question

The driving distance between Chicago and New Orleans is 927 miles.Shamim is using a road atlas that contains a national road map with scale 1 inch : 150 miles. What is the distance between Chicago and New Orleans on this map to the nearest tenth of an inch?

Answer 1

6.2 inches

Step-by-step explanation

The distance between Chicago and New Orleans is 927 miles.

The atlas uses a ratio 1 inch : 150 miles.

To find the distance of the two places, we have to compare with the ratio.

Let the distance between the two places on the atlas be x inches.

So, we have that:

`\begin{gathered} 1\text{ : 150 = x : 927} \\ \Rightarrow(1)/(150)\text{ = }(x)/(927) \\ \text{Cross multiply:} \\ 927\cdot\text{ 1 = 150 }\cdot\text{ x} \\ =>\text{ x = }(927)/(150) \\ x\text{ = 6.18 inches }\cong6.2\text{ inches} \end{gathered}`

The distance between Chicago and New Orleans on the map is 6.2 inches.