Enter your answer and show all the steps that you used to solve this problem in the space provided.
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. =7/8mi.
Step 1: Convert the fractions to decimals:
3/10 = 0.3
7/8 = 0.875
Step 2: Divide the first decimal by the second decimal:
0.3/0.875 = 0.34285714
Step 3: Convert the decimal to a unit rate:
0.34285714 inches per mile
Interpretation: The unit rate of 0.34285714 inches per mile means that for every mile, there are 0.34285714 inches.
It asked for scale.
in expressing a scale, no units are shown, since the numbers
are to represent the same units, we skip the units (divide by the unit)
7/8 miles corresponds with 3/10 inches <------ that was given
1 mile corresponds with (3/10) ÷ (7/8) inches = 12/35 inches
1 mile = 5280*12 inches = 63360 inches
12/35 inches on map = 63360 inches in real
1 inch on map = 63360 ÷ 12/35 inches in real
1 inch : 184,800 inches
the scale is 1 : 184,800