HarshivR278132 HarshivR278132
  • 28-10-2022
  • Mathematics
contestada

Describe how to create the graph of the direct-variation relationship "y varies directly with x where y=-8.4 when x=4 ."

Describe how to create the graph of the directvariation relationship y varies directly with x where y84 when x4 class=

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NitaraM244646 NitaraM244646
  • 28-10-2022

Answer:

Plot the graph of y=2.1x.

Explanation:

If y varies directly as x, we have the equation of variation as:

[tex]\begin{gathered} y=kx \\ k\text{ is the constant of proportion} \end{gathered}[/tex]

When x=-4 and y=-8.4

[tex]\begin{gathered} -8.4=-4k \\ k=-\frac{8.4}{-4} \\ k=2.1 \end{gathered}[/tex]

Substituting k back into the equation above, we have:

[tex]y=2.1x[/tex]

So, to create the required graph, simply plot the graph of y=2.1x.

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