Respuesta :

Answer:

x = 5

Step-by-step explanation:

Given that y is inversely proportional to x then the equation relating them is

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

To find k use the condition when y = 25 , x = 4 , then

25 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

100 = k

y = [tex]\frac{100}{x}[/tex] ← equation of proportion

When y = 20, then

20 = [tex]\frac{100}{x}[/tex] ( multiply both sides by x )

20x = 100 ( divide both sides by 20 )

x = 5

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