I need your help please! Convert the map scale to a unit rate. How many inches represent one mile? Show your work. Interpret the meaning of the unit rate. (3)/(10)in.= (7)/(8)mi…

Question

I need your help please!

Convert the map scale to a unit rate. How many inches represent one mile? Show your work. Interpret the meaning of the unit rate.


`(3)/(10)`in.=
`(7)/(8)`mi.

Answer 1

1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile.

Explanation:

Given that the scale of the map is
`(3)/(10)` inches =
`(7)/(8)` miles ....... (1)

Now, we have to convert this map scale to a unit rate.

And the unit rate is the number of inches per mile.

As the scale is constant, therefore from the the relation (1) we get

1 mile =
`(3 * 8)/(10 * 7) = 0.3428` inches.

Therefore, 1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile. (Answer)