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Exponential and Logarithmic Functions · Paper 2 — Free Maths AI SL Practice Questions

1MasterySAQ-SExponential functions and their graphs6 marksPaper 2~9 min

The population of a colony of bees,

P

(in thousands), is modelled by the function

P(t) = 12 \times 2^{kt}

, where

t

is the time in years after the colony is established. After 3 years, the population is 24 thousand bees.

(a)

Calculate the value of

k

. [2 marks]

(b)

Determine the population after 6 years. [2 marks]

(c)

A second colony is modelled by

Q(t) = 20 \times 1.2^{t}

. Determine the value of

t

at which both colonies have the same population. Give your answer correct to one decimal place. [2 marks]

Solutions

Questions 2-75

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