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.
