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The distance from Goteborg to Jonkoping on a map is 88 cm. The scale on the map is 1 cm: 15 km. How far is it between the two city centers, in kilometers?

Respuesta :

Let

x-------> distance in the map in cm

y-------> actual distance in Km

we know that

so

--------> equation

Part 13) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 13) is

the actual distance is

Part 14) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 14) is

the actual distance is

Part 15) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 15) is

the actual distance is

Part 16) find the actual distance corresponding to the scale map

In this problem we have

Substitute the value of x in the equation   to find the actual distance

therefore

the answer part 16

the actual distance 69km

The distance between the two cities on the map is 1332 km.

What is distance?

Distance is defined as the product of the speed and time.

Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.

Since the scale on the map is 1 cm = 15 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/15 km;

1 cm/15 km = d/D

Substituting, we get

1 cm/15 km = 88/D km

D = 88×15 km = 1332 km

Hence, the distance between the two cities on the map is 1332 km.

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