Shisui666idn
Answered

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y is inversely proportional to the cube of x. When x = 1/2, y = 24.
(a) Find the formula for y in terms of x

Sagot :

Chidichurriidn

Answer:

y=3/x^3

Step-by-step explanation:

y = k / x^3

24 = k / 1/2^3

Cross Multiply:

24 × 1/2^3 = k

3 = k

Since k is 3, then:

y=3/x^3

Answer:

y = [tex]\frac{3}{x^3}[/tex]

Step-by-step explanation:

Given y is inversely proportional to x³ then the equation relating them is

y = [tex]\frac{k}{x^3}[/tex] ← k is constant of proportion

To find k use the condition when x = [tex]\frac{1}{2}[/tex] , y = 24

24 = [tex]\frac{k}{(\frac{1}{2}) ^{3} }[/tex] = [tex]\frac{k}{\frac{1}{8} }[/tex] = 8k ( divide both sides by 8 )

3 = k

y = [tex]\frac{3}{x^3}[/tex] ← equation of proportion

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