ayannadamas77
ayannadamas77 ayannadamas77
  • 06-02-2018
  • Mathematics
contestada

Suppose y varies directly with x. If y=-20 when x=2, find y when x=14

A)140

B)-1.4

C)-140

D)1.4

Respuesta :

jdoe0001 jdoe0001
  • 06-02-2018
[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=-20\\ x=2 \end{cases}\implies -20=k2\implies \cfrac{-20}{2}=k \\\\\\ -10=k\qquad therefore\qquad \boxed{y=-10x} \\\\\\ \textit{when x = 14, what is \underline{y}?}\qquad y=-10(14)[/tex]
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