First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:
We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:
Therefore, Clara's house is located at (-2,0)
EXPLANATION
Price of shoes = $5.50
Markup= 40%
Let's call x to the unknown final price.
The markup percentage relationship is given by the following formula:
Replacing terms:
Multiplying both sides by 5.5:
Dividing both sides by 100:
Adding 5.5 to both sides:
Simplifyng the fraction:
Adding numbers:
Switching sides:
Answer: The final price of the shoes in the deparment store is $7.7