184k views
3 votes
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

********PLEASE HELP***************

User Viscocent
by
8.5k points

1 Answer

5 votes
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

Answer: 12.67


User OpenCurious
by
7.8k points