# Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 304: 16

y=2.5x; 30

#### Work Step by Step

We know direct variation has the equation y=kx. Thus, we plug in the points and solve for k: $y=kx \\\\ 7.5=3k \\\\ k=2.5$ We substitute k back in to get the equation: $y=2.5x$ We now plug in x=12: $y=(2.5)(12)=30$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.