If y varies directly as x^2 and y = 144 when x = 4, what is the value of y when x = -5? a. -225 b. 225 c. 180 d. -180 select the best answer from the choices provided

As the variation is direct then we have the following expression:
 
 From here, we clear the value of k.
 For this we use the following data:
 y = 144 when x = 4
 Substituting values:
 
 Clearing k we have:
 
 Then, the function is:
 
 When x = -5 we have:
 
 
 the value of y when x = -5 is:
 b.
 225