- An advertising agency is monitoring the number of views of an online advert.
The equation
$$\log _ { 10 } V = 0.072 t + 2.379 \quad 1 \leqslant t \leqslant 30 , t \in \mathbb { N }$$
is used to model the total number of views of the advert, \(V\), in the first \(t\) days after the advert went live.
- Show that \(V = a b ^ { t }\) where \(a\) and \(b\) are constants to be found.
Give the value of \(a\) to the nearest whole number and give the value of \(b\) to 3 significant figures.
- Interpret, with reference to the model, the value of \(a b\).
Using this model, calculate
- the total number of views of the advert in the first 20 days after the advert went live. Give your answer to 2 significant figures.