Question

the variable z is directly proportional to x. when x is 6, z has the value 18. what is the value of z when x = 10 the variable z is inversely proportional to x. when x is 3, z has the value 2. what is the value of z when x = 13

Answer 1

z
`\alpha x`
Z=kX
When x=6, z=18,
Finding value of z,
18=k*6
k=3
Z=3X
when x=10,
Z=3*10
Z=30

Part B;
Z
`\alpha (1)/(x)`
z=
`(a)/(x)`
Where x is a constant of proportionality,
when x=3, z=2
2=
`(a)/(3)`
a=3*2
a=6
When x is 13,
Z=
`(6)/(13)`