Question

Show your work

The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 64 miles due north of the warehouse.

Coordinate grid shown from negative 48 to positive 48 on x axis at intervals of 8 and negative 48 to positive 48 on y axis at intervals of 8. A line is shown between the points labeled Airport and Warehouse. Airport is the ordered pair negative 24, 32, and Warehouse is the ordered pair 24 and negative 32. A signage showing directions North, South, East, and West is shown in the empty quadrant on the graph.

A truck traveled from the warehouse to the airport and then to the factory. What is the total number of miles the truck traveled?

48 miles
56 miles
104 miles
128 miles

Answer 1

warehouse location (24,-32)

airport location (-24,32)

distance = sqrt((x2-x1)^2 +(y2-y1)^2)=

Sqrt(24--24)62 +(32--32)^2) =

sqrt(48^2 +64^2) =80

then distance from airport to the factory = -24 to 24 = 48

80+48 = 128 miles total

Explanation: