Question

NO LINKS!!! For each table, tell whether represents a linear, exponential, inverse, or no relationship. Write an equation each table(if possible).​

Answer 1

        Answer:

    $\large\boxed{\sf inverse \ variation}$

           $\sf \large\boxed{\sf xy = 12}$

      Explanation:

The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.

After identification, it looks like a inverse graph.

Constant variable:

• 1 × 12 = 12

• 2 × 6 = 12

• 3 × 4 = 12

• 4 × 3 = 12

• 6 × 2 = 12

Inverse variation: xy = a   [a is constant]

Equation: xy = 12 or y = 12/x

Answer 2

Answers:

This is an Inverse variation

The equation is y = 12/x which is the same as saying xy = 12

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Explanation:  

Notice that for each column, the x & y values multiply to 12.

• 1*12 = 12
• 2*6 = 12
• 3*4 = 12
• 4*3 = 12
• 6*2 = 12
• 8*1.5 = 12
• 10*1.2 = 12
• 12*1 = 12

This tells us that x*y = 12 which rearranges to y = 12/x

All inverse variation equations are of the form y = k/x which is equivalent to xy = k.

As x increases, y decreases, and vice versa.