Question

If the map is 3 quarter inches represents one half mile, what is the unit rate inches per mile?

Answer 1

Answer:

Thus, 3/2 in, or 1.5 in, represents 1 mile.

Step-by-step explanation:

"3 quarter inches to the half mile" can be expressed as "3/4 inch to 1/2 mile."

Write and solve an equation of ratios to obtain the unit rate in inches/mi:

3/4 in          x

---------- = ---------

1/2 mi         1 mi

Cross multiplying, we get 3/4 in-mi = (1/2) mi*x.

Solve this for x by mult. both sides by 2:

6/4 in-mi = x mi

and then dividing both sides by mi:

(6/4) in-mi

--------------- = 3/2 in

       mi

Thus, 3/2 in, or 1.5 in, represents 1 mile.