Question

A witch brewed a magical invisibility potion. There is a proportional relationship between the amount of potion the witch drinks (in milliliters), x, and the amount of time she is invisible (in minutes. After drinking 1 milliliter of potion, the witch was invisible for 5 minutes. Write the equatio for the relationship between x and y. y

Answer 1

x represents the amount of portion in millimeters

y represents the time she was invisible

Write out an equation to show the variation relationship

Since the variation is direct

Then

`\begin{gathered} x\propto y \\ x=k* y \end{gathered}`

To get the value of k

when x= 1 mm, y = 5 minutes

`\begin{gathered} k\text{ = }(x)/(y) \\ =(1)/(5)\text{ mm/min} \end{gathered}`

The relationship between x and y will be

`\begin{gathered} \text{substitute k in x=}ky \\ x=(1)/(5)* y \\ x=(y)/(5)\text{ (this is the relationship)} \end{gathered}`