59.7k views
0 votes
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 x^4/y=7? a) x^4 varies-example-1
User Daviid
by
8.0k points

2 Answers

1 vote

Answer:

Choice b is correct answer.

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.

User Dooxe
by
8.7k points
3 votes

Answer:

b) x^4 varies directly as y

is the right answer

Explanation:

Given that x and y are related by the equation


(x^4)/(y) =7

This can be rewritten as


x^4=7y

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

User Remon
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories