You're viewing 1 free preview question for Maths AI HL — subscribe to unlock 89 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade
Exponential and Logarithmic Functions · Paper 2 — Free Maths AI HL Practice Questions
1MasterySAQ-SExponential functions and their graphs6 marksPaper 2~9 min
The population of a certain species of bird on an island is modelled by P(t)=1200×e−0.15t, where t is the time in years since the population was first recorded.
(a)
State the initial population of the birds. [1 mark]
(b)
Calculate the population after 5 years, giving your answer correct to the nearest whole number. [2 marks]
(c)
Calculate the time, in years, for the population to decrease to 300 birds. Give your answer correct to 2 decimal places. [3 marks]