Question

Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual distance between the two two places?

Distance is 12 CM and 6 CM to jump rope to gulf gully

Answer 1

12 cm = 21.62 miles

6 cm = 11.04 miles

Explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of
`(map)/(real world)` and simplify.

We know
`(map)/(real world)=(0.5in)/(2.3 miles)`. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write
`(4.7in)/(xmiles)` and
`(2.4in)/(xmiles)`

We set them equal.

`(0.5)/(2.3)=(4.7)/(x)`

and

`(0.5)/(2.3)=(2.4)/(x)`

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

`2.3(4.7)=0.5(x)\\10.81=0.5x\\(10.81)/(0.5)=(0.5x)/(0.5) \\21.62 miles=x`

and

`2.3(2.4)=0.5(x)\\5.52=0.5x\\(5.52)/(0.5)=(0.5x)/(0.5) \\11.04 miles=x`