Q3.
r varies directly as the cube root ofy.
x = 6 when y = 8.
Find the value of x when y=64.

x = 12

Step-by-step explanation:

Given x varies as the cube root of y then the equation relating them is

x = k ← k is the constant of variation

To find k use the condition x = 6 when y = 8, thus

k = = = = 3

x = 3 ← equation of variation

When y = 64, then

x = 3 × = 3 × 4 = 12

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b