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 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

 Mar 10, 2021
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At x = 0

 

f(x) = 4 + e0     =   4 employees initially

 

150 = 4 + ex

146 = e^x

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

 Mar 10, 2021

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