Question

Convert the map scale to a unit rate. Show your work. Interpret the meaning of the unit rate 3/10 in.= 7/8 mi

Answer 1

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

1 in = (7/8) mi ÷ (3/10)

= 7/8 * (10/3) = 70/24

1 in = (70/24) mi

It means every 1 inch on the map drawing represents (70/24) miles ≈ 2.917 miles in reality.

Answer 2

This implies that 3/10 inches on the map represents 7/8 miles on actual distance

Conversion Unit

This conversion unit or rate is used to assist use to represent larger values on a smaller piece of paper in this case map. The conversion rate between inches and miles is

`1mi = 63360inches`

Data given

• 3/10 in = 7/8 miles

What this implies is that we would represent 7/8 miles of actual distance by 3/10 inches on the map. This would definitely reduce the size or length of the paper required.