If y varies directly as the x^2 and y = 200 when x = 5, what is the value of y when x = -3? a. -72 b. 120 c. 72 d. -120 select the best answer from the choices provided

As the variation is direct we have:
 
 We must find the value of k.
 For this, we use the following data:
 y = 200 when x = 5
 Substituting values we have:
 
 Clearing k:
 
 Then, the function is:
 
 We evaluate the function for x = -3
 
 
 the value of y when x = -3 is:
 c.
 72