Question

If a bottle rotates through270 degrees in 3seconds, how manydegrees does it rotate in2 seconds?

Answer 1

270 degrees is proportional to 3 seconds. To find how many

degrees are related to 2 seconds, we can use the next proportion:

`\frac{270\text{ degre}es}{x\text{ degr}ees}=\frac{3\text{ seconds}}{2\text{ seconds}}`

Solving for x,

`\begin{gathered} 270\cdot2=3\cdot x \\ (540)/(3)=x \\ 180\text{ \degree=x} \end{gathered}`

It rotates 180° in 2 seconds