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$\alpha \frac{1}{x}$
z=$\frac{a}{x}$
Where x is a constant of proportionality,
when x=3, z=2
2=$\frac{a}{3}$
a=3*2
a=6
When x is 13,
Z=$\frac{6}{13}$