determine if the tables and graphs below express a direct variation between the variables.if they do find the constantvariation and an equation that defines the relation
To determine if the tables and graphs express a direct variation between variables, we need to examine the data. Direct variation occurs when the ratio of the variables remains constant. This ratio is typically denoted as “k” and is referred to as the constant of variation.
For tables:
1. Calculate the ratio between the values of the variables for each corresponding pair of data points.
2. If the ratios are the same for all data points, it indicates a direct variation.
For graphs:
1. Look at the shape of the graph. If the points form a straight line passing through the origin (0,0), it suggests a direct variation.
2. Determine if the ratios of the variables’ values along this line are consistent.
If we find that the tables or graphs express a direct variation, we can then determine the constant of variation and formulate the equation that defines the relation.
Could you please provide the specific tables and graphs you would like me to answer..
But may this information helps.
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