12.6k views
3 votes
The variable y varies directly as x, and y = 3 when x=10, Write an equation that relates x and y. Find у when x=-6. Equation: y= (A) When x=-6, y =(B)__

User Zeeawan
by
8.3k points

1 Answer

4 votes

hello

x varies directly as y and this means that as x increase, y increases likewise when x decreases, y decreases


\begin{gathered} x\propto y \\ x=ky \\ k=(x)/(y) \\ (x_1)/(y_1)=(x_2)/(y_2)=(x_3)/(y_3)\ldots(x_n)/(y_n) \end{gathered}
\begin{gathered} x_1=10 \\ y_1=3 \\ k=\text{?} \\ k=(x)/(y)=(10)/(3) \end{gathered}

now we can find y2 when x = - 6


\begin{gathered} k=(x)/(y) \\ k=(10)/(3) \\ (10)/(3)=(-6)/(y) \\ \text{cross multiply both sides and solve for y} \\ 10* y=3*-6 \\ 10y=-18 \\ y=-(18)/(10) \\ y=-(9)/(5) \end{gathered}

when x = -6, y = - 9/ 5

User Parilogic
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories