Question

A car, starting from (3,3), has enough fuel to cover to travel 5 km only. If the car can travel along the gridlines on the map, which of the following fuel stations can it reach before running out of fuel?
(Use the data given in the table below:)

Fuel station	Coordinates on the map
A	(4,7)
B	(5,7)
C	(7,5)
D	(8,4)

• A. Fuel station A
• B. Fuel station B
• C. Fuel station C
• D. Fuel station D

Answer 1

The correct option is A Fuel station A

Plotting the fuel stations on a map, we get:


Now, measuring the distance from the car to each fuel station along the gridlines, we get:

Fuel station A:


Hence, the distance from the car to fuel station A is: 1 + 4 = 5 units.

Fuel station B:


Hence, the distance from the car to fuel station B is: 2 + 4 = 6 units.

Fuel station C:


Hence, the distance from the car to fuel station C is: 4 + 2 = 6 units.

Fuel station D:


Hence, the distance from the car to fuel station D is: 5 + 1 = 6 units.

Therefore, the only fuel station that is within the 5 km fuel range of the car is fuel station A.