Question

Tony took the city bus from the local library located at (4, 0) on a coordinate plan map to his dorm located at (12, 6) on the map. If each unit represents 0.75 miles, how far is his dorm from the library?

Answer 1

well, first off, let's check how far is it on the map, from the library to his dorm,




so there are that many units, now, how many miles is that?

well, we know each map unit is 0.75 miles, so there are d * 0.75 miles then

Answer 2

7.5 miles.

Explanation:

It is given that on a coordinate map the local library located at (4, 0) dorm located at (12, 6).

Distance formula:

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

Using distance formula, the distance between library and dorm is

`Distance=√((12-4)^2+(6-0)^2)`

`Distance=√((8)^2+(6)^2)`

`Distance=√(64+36)`

`Distance=√(100)`

`Distance=10`

The distance between library and dorm is 10 units.

It is given that each unit represents 0.75 miles.

1 unit = 0.75 miles

10 units = 7.5 miles

Therefore, the actual distance between library and dorm is 7.5 miles.