The world population, $P$ (billion), is modelled by $P = ab^t$ , where $t\,$ is years since 1 April 1974. The linear relationship is $log_{10}P = 0.008t + 0.6$ .

Find, to 4 significant figures, the value of $a\,$ and the value of $b$

With reference to the model interpret (i) the value of the constant $a$ , (ii) the value of the constant $b$ .

Find the world population, as predicted by the model, on 1 April 2020.

Given the world population on April 2020 was 7.8 billion use your answer in part (c) to comment on the suitability of the model.

The world population, $P$ (billion), is modelled by $P = ab^t$ , where $t\,$ is years since 1 April 1974. The linear relationship is $log_{10}P = 0.008t + 0.6$ .

Find, to 4 significant figures, the value of $a\,$ and the value of $b$

With reference to the model interpret (i) the value of the constant $a$ , (ii) the value of the constant $b$ .

Find the world population, as predicted by the model, on 1 April 2020.

Given the world population on April 2020 was 7.8 billion use your answer in part (c) to comment on the suitability of the model.

Exponentials and Logarithms

Question 41

Markscheme

Exponentials and Logarithms

Question 41

Markscheme

Exponentials and Logarithms

Question 41

Exponentials and Logarithms Questions

Exponentials and Logarithms

Question 41

Exponentials and Logarithms Questions