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What is the relation between the variables in the equation x^4/y=7?


a) x^4 varies inversely as y

b) x^4 varies directly as y

c) y varies directly as x^4

d) y varies inversely as x^4

What is the relation between the variables in the equation x4y7a x4 varies inversely as yb x4 varies directly as y c y varies directly as x4d y varies inversely class=

Respuesta :

Answer:

b) x^4 varies directly as y

is the right answer

Step-by-step explanation:

Given that x and y are related by the equation

[tex]\frac{x^4}{y} =7[/tex]

This can be rewritten as

[tex]x^4=7y[/tex]

If x^4 =z is substituted we have

z=7y

i.e. Z directly varies as y and constant of proportionality is 7.

Hence we can write

x^4 varies directly as y

Option b is right

zainebamir540

Answer:

Choice b is correct answer.

Step-by-step explanation:

We have given an equation.

x⁴ / y = 7

Multiplying y to both sides of above equation, we have

y(x⁴ / y) = y(7)

x⁴ = 7y

Above equation can be written as :

x⁴ = ky where k = 7.

x⁴ ∝ y

hence, x⁴ varies directly as y.

hence, choice b is the answer.

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