Question

What is the scale factor of 8in=200mi?

Answer 1

200 / 8 = 25

scale factor is 1:25 or 0.04

Answer 2

We have to find the scale factor of 8 inches = 200miles.

To find the scale factor first we have to make the units equal.

Here we will convert miles to inches.

We know that 1 mile = 5280 ft.

And 1 ft = 12 inches.

So we can write that 1 mile =
`(5280)(12)` inches = 63360 inches

Here 200 miles given.

So 200 miles =
`(63360)(200)` inches.

= 12672000 inches.

Now the scale factor of 8 in = 200 mi is

8 in = 12672000 in

1 in =
`((12672000))/(8)`

1 in = 1584000 in

So the scale factor is 1:1584000.

We have got the required answer.