The function varies directly as x if there is a non-zero constant k such that y=kx. The constant k is called the constant of variation. The graph of a direct variation is a straight line through the origin. Its slope is the constant k of variation. Joint variation is very similar to the direct variation, however, youll be working with three variables instead of two. The function varies inversely as x if there is a non-zero constant k such that y=k/x. The graph of an inverse variation is very similar to the graph of a rational function - it has asymptotes. This lecture also covers proportions, which can be used to solve problems involving different variations.
*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.
Direct, Joint, and Inverse Variation
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.