Question

The distance between two parks on a city map is 1. 8 inches. The actual distance between the parks is 2 miles. In the same city, the distance from the library to the post office is 0. 8 mile. What is the distance between the library and the post office on the map? 0. 72 inch 1. 4 inches 4. 4 inches 6. 7 inches.

Answer 1

Scale factor is the ratio of representation measurement of the figure to the original figures.

The distance between the library and the post office on the map is 0.72 inches. Thus the option A is the correct option,

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Given information-

The distance between two parks on a city map is 1.8 inches.

The actual distance between the parks is 2 miles or 126720 inches.

The distance from the library to the post office is 0.8 mile or 50688 inches for the same city.

The scale factor of the distance of two parks on a city on the map and the actual distance between them is,

$r=\dfrac{1.8}{126720}\\r=\dfrac{1}{70400}$

Thus scale factor of the distance of two parks on a city on the map and the actual distance between them is 1/70400.

As the city is same for both the conditions. Thus, scale factor of the distance of library to the post office on a city on the map and the actual distance between them is also 1/70400.

Let suppose the the distance between the library and the post office on the map is x inches

$\dfrac{1}{70400}=\dfrac{x}{50688} \\x=0.72\rm in$

Hence the distance between the library and the post office on the map is 0.72 inches. Thus the option A is the correct option,

Learn more about the scale factor here;

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