Answered

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The variables y and x^2 are directly
proportional. It is given that the difference
between the values of ý when x = 2 and x = 5
is 20. Form an equation relating y and x.

Sagot :

Answer:

y = [tex]\frac{20}{21}[/tex] x²

Step-by-step explanation:

Given that y and x² are directly proportional then the equation relating them is

y = kx² ← k is the constant of proportion

When x = 2

y = k × 2² = 4k

When x = 5

y = k × 5² = 25k

Then

25k - 4k = 20 ( difference between values is 20 )

21k = 20 ( divide both sides by 21 )

k = [tex]\frac{20}{21}[/tex]

y = [tex]\frac{20}{21}[/tex] x² ← equation of proportion

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