Question

Write a model for the statement V varies jointly as h and the fifth power of r. Group of answer choices LaTeX: V=khr^5 V = k h r 5 LaTeX: V=\frac{1}{khr^5} V = 1 k h r 5 LaTeX: V=5khr V = 5 k h r LaTeX: V=kh+kr^5 V = k h + k r 5 LaTeX: V=\frac{kh}{r^5}

Answer 1

Option A)

`V = khr^5`

Explanation:

We are given the following in the question:

V varies jointly as h and the fifth power of r.

`V\propto h\\V\propto r^5`

Combing the two equations, we get,

`V\propto hr^5`

Now, removing the sign of proportionality and adding the constant of proportionality, we get,

`V = khr^5`

where k is the constant of proportionality.

Thus, the correct answer is

Option A)

`V = khr^5`