keatonwatts
keatonwatts keatonwatts
  • 20-03-2018
  • Mathematics
contestada

Not sure what number 3 is. Linear Relationships. Any help?

Not sure what number 3 is Linear Relationships Any help class=

Respuesta :

WojtekR
WojtekR WojtekR
  • 20-03-2018
The value of y varies directly with x, so [tex]\dfrac{y}{x}=\text{const}[/tex]

We have:


[tex]\dfrac{y_1}{x_1}=\dfrac{y_2}{x_2}\\\\\\x_1=\dfrac{1}{4}\qquad y_1=25\qquad\qquad x_2=2\dfrac{1}{3}\qquad y_2=?\\\\\\ \dfrac{25}{\frac{1}{4}}=\dfrac{y_2}{2\frac{1}{3}}\\\\\\ 100=\dfrac{y_2}{2\frac{1}{3}}\qquad|\cdot2\dfrac{1}{3}\\\\\\ 100\cdot2\dfrac{1}{3}=y_2\\\\\\\boxed{y_2=233\frac{1}{3}}[/tex]

Answer A)
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