Question

16

Answer 1

Answer:

Correct answer is C. (15,6)

Step-by-step explanation:

Let us think of the $xy$ co-ordinates plane. We can move in four directions.

1. North (i.e. upwards) If we move north or upwards the value of y-coordinate  will increase.

2. South (i.e. downwards) If we move south or downwards the value of y-coordinate will decrease.

3. West (i.e. left) If we move west or left the value of x-coordinate will decrease.

4. East (i.e. right) If we move east or right the value of x-coordinate will increase.

Let us imagine, the starting coordinate of Tara be $(x,y)$

Let us apply the above 4 directions and the properties in the question statement.

Step 1: Tara walks 4 blocks west (left), x coordinate will decrease by 4.

New coordinates will be $(x-4,y)$.

Step 2: Tara walks 3 blocks north (up), y coordinate will increase by 3.

New coordinates will be $(x-4,y+3)$.

Step 3: Tara walks 2 blocks west (left), x coordinate will decrease by 2.

New coordinates will be $(x-4-2,y+3) \Rightarrow (x-6,y+3)$.

Now Tara is at (9,9)

Comparing the x and y coordinates:

$x-6=9\\\Rightarrow x = 15$

$y+3=9\\\Rightarrow y = 6$

So, Tara's starting point is (15,6) hence, option C is correct.