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

Mathematics

2 answers:

BigorU [14]3 years ago

8 0

200 / 8 = 25

scale factor is 1:25 or 0.04

Vlad1618 [11]3 years ago

3 0

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 = $\frac{(12672000)}{8}$

1 in = 1584000 in

So the scale factor is 1:1584000.

We have got the required answer.

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