Question

Tell whether the data set represents a direct variation. If so, Identify the constant of variation and then write the direct variation equation.

a) Yes, constant of variation is k, and the equation is y = kx.
b) No, it does not represent a direct variation.
c) Yes, constant of variation is k, and the equation is y = k/x.
d) Cannot be determined from the information provided.

Answer 1

A direct variation equation represents a more-more relationship between two variables. The equation y = kx represents a direct variation, where k is the constant of variation. It can be determined by comparing the ratios between the dependent and independent variables.

Step-by-step explanation:

The data set represents a direct variation if it follows the equation y = kx, where k is the constant of variation. The constant of variation represents the ratio between the dependent variable (y) and the independent variable (x). To determine if the data set represents a direct variation, you need to compare the ratios between the values of y and x. If these ratios are consistent, then it is a direct variation.