In Exercises 11–20, write an equation that expresses each relatio...

Question

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y.

x varies jointly as y and z.

Accepted Answer

Welcome back. I am so glad you're here. We are Given this relationship. We're told that P varies jointly as Q. And half of our. So we recall from previous lessons on variation that the variable that varies. So in this case P goes on the left hand side of the equal sign and that equals the constant term K. And when it varies jointly then that K is going to get multiplied by the variables that vary jointly. So in this case K times Q. And K times half of our. There are several ways to write that. But I'm going to write it as R over two. So we've written that expression and now we need to solve the equation for our So first thing I'd like to do to get that are by itself is multiply both sides by two to get those twos to cancel. So on the left will have to pee and on the right that will be K times Q times are we want to get our by itself. So let's divide both sides by K. Q. K times Q. And our will now be by itself on the right hand side. So I'm going to write that as R equals which is what we're looking for. R equals two P divided by K. Q. We look at our answer choices and that matches with answer choice. C. Well done. We'll catch you on the next one

In Exercises 11–20, write an equation that expresses each relationship. Then solve the equation for y. x varies jointly as y and z.

Key Concepts

Joint Variation

Solving for a Variable

Constants of Variation

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