Respuesta :

Answer:

B = [tex]\frac{4}{9}[/tex]A

Step-by-step explanation:

Given that B varies directly as A then the equation relating them is

B = kA ← k is the constant of variation

To find k use the condition A = 90 and B = 40, then

k = [tex]\frac{B}{A}[/tex] = [tex]\frac{40}{90}[/tex] = [tex]\frac{4}{9}[/tex]

B = [tex]\frac{4}{9}[/tex]A ← equation of variation

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