Question

Write the inverse variation function given that y varies inversely with x, and y = 0.5 when x = 24.

Answer 1

Answer ↓

`\large{\text{Refer\:to\:explanation\:pls}}`

Calculation ↓

If y varies inversely with x, we divide :

y =
`^k/_x`

Where

k = constant of proportionality

We are given that :

y = 0.5

x = 24

So we write :

0.5 =
`\Large\text{$^k/_(24)$}`

Multiply by 24 on
`\Large{\text{both\:sides\::}}`

12=k

`\Large{\text{The\:constant\:of\:proportionality\:is\:12.}}`

So we have

y = 12/x

`\footnotesize{\text{hope\:helpful}}`