Question

What fractional part of the battery is still operating after 50 hours of use?

Answer 1

Fractional part of battery: B

t: hours

`B=5^(-0.02t)`

After 50 hours of use:

Substitute the t in the equation by 50 and evaluate:

`\begin{gathered} B=5^(-0.02(50)) \\ \\ B=5^(-1) \\ \\ B=(1)/(5^1) \\ \\ B=(1)/(5) \end{gathered}`Then, 1/5 of the battery is still operating after 50 hours of use