Answer:
Correct answer is C. (15,6)
Step-by-step explanation:
Let us think of the [tex]xy[/tex] 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 [tex](x,y)[/tex]
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 [tex](x-4,y)[/tex].
Step 2: Tara walks 3 blocks north (up), y coordinate will increase by 3.
New coordinates will be [tex](x-4,y+3)[/tex].
Step 3: Tara walks 2 blocks west (left), x coordinate will decrease by 2.
New coordinates will be [tex](x-4-2,y+3) \Rightarrow (x-6,y+3)[/tex].
Now Tara is at (9,9)
Comparing the x and y coordinates:
[tex]x-6=9\\\Rightarrow x = 15[/tex]
[tex]y+3=9\\\Rightarrow y = 6[/tex]
So, Tara's starting point is (15,6) hence, option C is correct.
