Question

If x varies inversely as y and x=10 when y=8, then find y when x=4

Answer 1

Answer:

y = 20

Step-by-step explanation:

Wehave,

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 10 & \sf 8 \\ \\ \sf 4 & \sf y \\ \\ \sf & \sf \end{array}} \\ \end{gathered}$

☆ According to statement, x varies inversely with y.

☆ So,

$\tt \:  \longrightarrow \: 10 \times 8 = 4 \times y$

$\tt\implies \: \boxed{ \purple{ \bf \: y \: = 20}}$