Question

Statistics show that the fractional part of a battery, B, that is still good after 6 hours of use is given by B = 4-0.011 What fractional part of the battery is still operatingafter 300 hours of use?AnswerHow to enter your answer (opens in new window)Keypad

Answer 1

Step-by-step explanation

Given:

`B=4^(-0.01t)`

where:

t=300 hours

To determine the fractional part of the battery after 300 hours of use, we plug in t=300 into B=4^-0.01t. So,

`\begin{gathered} B=4^(-0.01t) \\ B=4^(-0.01(300)) \\ Simplify \\ B=4^(-3) \\ B=(1)/(64) \end{gathered}`

Therefore, the answer is:

`(1)/(64)`