Question

suppose that x and y vary inversely and x=1 when y=6. write a function that models the inverse variation. graph the function and find y when x=10

Answer 1

Required Answer:-

Table:-

`\boxed{\begin{array}cx & 1 & 10 \\ y & 6 & ?\end{array}}`

• Now come to formula

`\sf x \propto y`

`{:}\longrightarrow`
`\sf x_1 y_2=x_2 y_1`

• Substitute the values

`{:}\longrightarrow`
`\sf 1×y_2=10*6`

`{:}\longrightarrow`
`\sf y_2={\frac {10*6}{1}}`

`{:}\longrightarrow`
`\sf y_2=60`

`\therefore`
`{\underline{\boxed{\bf y_2=60}}}`