Question

The scale of a map is 1 in. : 40 mi. The distance from Atlanta to Macon is about 75 mi. What is the approximate map distance between these two cities?

Answer 1

The approximate map distance between two cities is 1.875 inches.

Step-by-step explanation:

Given,

Scale of map = 1 in : 40 mi

The distance from Atlanta to Macon = 75 miles

Let,

x be the map distance from Atlanta to Macon.

Ratio of distance from Atlanta to Macon = x:75

Using proportion;

Scale of map :: Ratio of distance from Atlanta to Macon

$1:40::x:75$

Product of mean = Product of extreme

$40*x=1*75\\40x=75$

Dividing both sides by 40

$\frac{40x}{40}=\frac{75}{40}\\x=1.875$

The approximate map distance between two cities is 1.875 inches.

Keywords: ratio, distance

Learn more about ratios at:

• brainly.com/question/846474
• brainly.com/question/8520610

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