-2t³ + 54t² – 40t + 21000 where t represents 2. The population of Mathville is modelled by the function P(t) : the number of years since 2015. a) What will the population be in 2023? b) Determine the average rate of change of the population from 2018 to 2028. · c) Determine the instantaneous rate of change of the population in 2037.

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The population of Mathville is modelled by the function P(t) = -2t3 + 54t2 – 40t + 21000 where t represents
the number of years since 2015.
a) What will the population be in 2023?
2.
b) Determine the average rate of change of the population from 2018 to 2028. ·
c) Determine the instantaneous rate of change of the population in 2037.
Transcribed Image Text:The population of Mathville is modelled by the function P(t) = -2t3 + 54t2 – 40t + 21000 where t represents the number of years since 2015. a) What will the population be in 2023? 2. b) Determine the average rate of change of the population from 2018 to 2028. · c) Determine the instantaneous rate of change of the population in 2037.
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