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.

$\frac{3}{10}$in.= $\frac{7}{8}$mi.

Answer 1

Answer:

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

Step-by-step explanation:

Given that the scale of the map is $\frac{3}{10}$ inches = $\frac{7}{8}$ 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 = $\frac{3 \times 8}{10 \times 7} = 0.3428$ inches.

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