The variable z is directly proportional to x, and inversely proportional to y. when x is 3 and y is 6, z has the value 9.5. what is value of z when x =8, & y= 12

Z is directly proportional and inversely proportional to Y => Z = K (X / Y)

X= 3 and Y = 6 =>  Z = 9.5 = K (X/Y) => K = 9.5 Y/X = 9.5 * 6 / 3 = 19

X = 8 and Y = 12 => Z = K * 8 / 12 = 19 * 8 / 12 = 12.67

12.67

The answer would be d i think but i’m for sure it is not a and c