Question

Statistics show that the fractional part of a battery 8that is still good after hours of use is given by B 4-0 What fractional part of the battery is still operatingafter 300 hours of use)AnswerHow to answer nens in new window)Keypad

Answer 1

Given,

$B=4^{-0.01t}$

t = 300

Replace,

$B=4^{-0.01\cdot\:300}$

Multiply -0.01*300 = 3

$B=4^{-3}$

Apply exponent rule,

$a^{-b}=\frac{1}{a^b}$$B=\frac{1}{4^3}$

Simplify, 4^3=64

$B=\frac{1}{64}$

Answer: B = 1 / 64