When j = 32, m = 2, and p = 1/4. If j varies directly with m and inversely with p, what is the constant of variation? 4 16 64 256

Question

asked May 5, 2020 9.4k views

2 Answers

Simple · Answer 1 · 2020-05-09T21:06:35+0000

Answer:

First option: 4

Explanation:

We know that "j" varies directly with "m" and inversely with "p". Then, it is a Combined variation with the following form:

j=k((m)/(p))

Where "k" is the constant of variation.

Then, in order to find "k", we need to substitute the given values of "j", "m" and "p" into the equation and solve for "k":

$32=k((2)/((1)/(4)))\\\\32=8k\\\\k=(32)/(8)\\\\k=4$