A certain map shows two roads. Road A is 1 1 2 miles long but is 1 7 8 inches long on the map. What is the unit rate for inches per mile on this map? If road B is 8 miles long, how long is road B on the map?

a) What is the unit rate for inches per mile on this map?

= 5/4 inches per mile

b) If road B is 8 miles long, how long is road B on the map?

10 inches on the map

Step-by-step explanation:

a) A certain map shows two roads. Road A is 1 1/2 miles long but is 1 7/8 inches long on the map. What is the unit rate for inches per mile on this map?

Unit rate for inches per mile is calculated as:

1 7/8 inches/ 1 1/2 miles

= 15/8 / 3/2

= 15/8 × 2/3

= 5/4 inches per miles

b) If road B is 8 miles long, how long is road B on the map?

The unit rate is given as:

5/4 inches per miles

Hence,

Road B = 8 miles long

The length of Road B on the map =

5/4 inches per miles × 8 miles

= 10 inches