Find the constant of variation

Learning Objectives Define the constant of variation, 'k'. Identify whether a relationship is a direct or inverse variation from a problem statement. Select the correct formula to find the constant of variation for direct relationships. Select the correct formula to find the constant of variation for inverse relationships. Calculate the constant of variation, 'k', given a pair of values (x, y). Write the specific variation equation once 'k' is found. If you earn $15 per hour, how does your total pay change as you work more hours? 💰 That single number, $15, is the key to the whole relationship! In this tutorial, you will learn how to find the 'constant of variation', a crucial number that defines the relationship between two changing...

TermDefinitionExample VariationA mathematical relationship that describes how one variable changes in response to another variable changing.The total cost of apples (C) varies with the number of apples you buy (n). Direct VariationA relationship where two variables increase or decrease together at the same rate. As one gets bigger, the other gets bigger by a constant factor.The more hours you work, the more money you earn. If you earn $20/hour, your pay is always 20 times the hours worked. Inverse VariationA relationship where one variable increases as the other decreases. When you multiply them together, you always get the same constant value.The faster you drive, the less time it takes to get to your destination. Speed and time vary inversely for a fixed distance. Constant of Variation...

Finding the Constant of Direct Variation k = \frac{y}{x} Use this formula when you are told 'y varies directly as x'. To find the constant 'k', divide the dependent variable (y) by the independent variable (x). Finding the Constant of Inverse Variation k = xy Use this formula when you are told 'y varies inversely as x'. To find the constant 'k', multiply the two variables (x and y) together.