Question

Y is inversely proportional to √x

y = 9 when x = 16
a) An equation connecting y and x can be written in the form y=k/ √x
Work out the value of k.
k=
b) Work out the value of y when x = 25
y =
c) Work out the value of x when y = 4.5

Answer 1

k=36; y=1.44; x=8

Explanation:

a) y= k/square root of x

9=k/square root of 16

9=k/4

9×4= (k/4)×4

therefore k=36

b) Using k...

y=36/25

therefore y=1.44

c) 4.5=36/x

4.5×(x)= (36/x)×(x)

4.5x=36

therefore x=8