Determine the equation for each table and graph below.



The constant of proportionality is
and the equation for this relationship is
.

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The constant of proportionality is
and the equation for this relationship is
.

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The constant of proportionality is
and the equation for this relationship is
.

========================================



The constant of proportionality is
and the equation for this relationship is
.



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1 answer

To determine the equation and the constant of proportionality for each table and graph, we typically follow these steps:

  1. Identify pairs of values (x, y) from the table or graph.
  2. Calculate the constant of proportionality \( k \) using the formula: \[ k = \frac{y}{x} \] for each pair where \( x \neq 0 \).
  3. If \( k \) is constant across all pairs, then the relationship is linear and can be expressed as: \[ y = kx \]

Since no specific data from tables or graphs is provided in your prompt, I cannot directly compute the constants or write the equations. However, you can follow the aforementioned steps with the available data to find the constants of proportionality and the respective equations.

If you provide specific values or data points from the tables or graphs, I would gladly help you find the relationships!