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  • 21-11-2020
  • Mathematics
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The table and equation represent different linear relationships. Which one has the greater rate of change? Explain your reasoning.

The table and equation represent different linear relationships Which one has the greater rate of change Explain your reasoning class=

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sabrina1133113322 sabrina1133113322
  • 21-11-2020

Answer:

The equation y=4x-1 has a greater rate of change

Step-by-step explanation:

to find rate of change for the table, you use [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

so, [tex]\frac{-5-(-7)}{-2-(-3)}[/tex] =      [tex]\frac{2}{1}[/tex]  = 2

So the rate of change for the table is 2 while the rate of change for the equation is 4. 4>2 so the equation has a greater rate of change.

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