A funny joke is spreading through the office. The speed that it is spreading can be modelled by the equation f(x) = 4 + e^x, where x is the time in minutes and x 0.

a Find out many employees heard the joke initially

b Find how many minutes it took before 150 employees heard the joke

Guest Mar 10, 2021

#1**+1 **

At x = 0

f(x) = 4 + e^{0 = 4 employees initially}

150 = 4 + e^{x}

146 = e^x

ln (146) = x = 4.98 ~~~ 5 minutes

ElectricPavlov Mar 10, 2021