Qno#7-8. FZ is directly proportional to x and z=12 when x = 3 find the value of x when z=18

 

7. if z is directly proportional to X, and z=12 when x=3. find the value of x when z=18.

z ∝ x (∝ symbol of directly Proportion)

X = Kz (Where K is constant)

(find value of K first by putting values of z and x)

3=K×12

K=3/12

K=0.25

(Now the equation is)

X=0.25 × z

(by putting given value of z=18)

X=0.25 × 18

X=4.5

(value of X is 4.5)

8. If b is directly proportional to a and b=3 when a=18, find the value of B when is a=24

.b and a are directly proportional if b increases, a will also increase so

  b ∝ a (∝ symbol of directly Proportion)

b = Ka (Where K is constant)

( by putting values of b and a we will get the equation)

3 = K × 18

K= 3/18

K=0.67 ( by dividing 3 with 18)

b=0.67a ( the equation we get)

b=0.67 × 24

b=4

( the value of B is 4)