Question

if a scale map is 1 cm: 15 Km. find the actual distance corresponding to the scale map. 13) 2.5 cm 14) 0.2 cm 15) 15 cm 16) 4.6 cm

Answer 1

Let

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

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

we know that

`Scale\ Map=(x)/(y) \\ \\ Scale\ Map=(1)/(15)(cm)/(Km)`

so

`(x)/(y)=(1)/(15)`

`y=15x` --------> equation
`1`

Part 13) find the actual distance corresponding to the scale map
`2.5\ cm`

In this problem we have

`x=2.5\ cm`

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

`y=15*2.5=37.5\ Km`

therefore

the answer part 13) is

the actual distance is
`37.5\ Km`

Part 14) find the actual distance corresponding to the scale map
`0.2\ cm`

In this problem we have

`x=0.2\ cm`

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

`y=15*0.2=3\ Km`

therefore

the answer part 14) is

the actual distance is
`3\ Km`

Part 15) find the actual distance corresponding to the scale map
`15\ cm`

In this problem we have

`x=15\ cm`

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

`y=15*15=225\ Km`

therefore

the answer part 15) is

the actual distance is
`225\ Km`

Part 16) find the actual distance corresponding to the scale map
`4.6\ cm`

In this problem we have

`x=4.6\ cm`

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

`y=15*4.6=69\ Km`

therefore

the answer part 16

the actual distance is
`69\ Km`

Answer 2

All you gotta do is multiply the cm by 15,
For 13) you'd do
`2.5*15`
14)
`0.2*15`
15)
`15*15`
then for 16)
`4.6*15`