Question

if z is inversely proportional to ∛x and z = 5 when x = 64, find the value of z when x = 216

Answer 1

Z=k∛x

5=k∛64

5=k×4

K=5/4

Now...

Z=k∛x

Z=5/4 × ∛216

Z= 5/4 × 6

Z=30/4

Hope helps

@skb

Answer 2

Write the english as maths:

z∝1/(cube root x)

Change the variation to an equation by multiplying by a constant.

z = k /( cube √x )

now putting value

5 = k / ( cube √64)

=> 5 = k/4

=> k = 5×4

=> k = 20

Now replace k with 20 to obtain the equation

z = 20/(cube √ x)

now you can calculate z for any given x

z = 20/(cube √216)

z = 20/6

= 10/3

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