Q1.
log$_{10}$N
(5, 3.85)
(0, 3.08)
Figure 1
The number of subscribers to an online video streaming service, N, is modelled by the equation
$N = ab^t$
where a and b are constants and t is the number of years since monitoring began.
The line in Figure 1 shows the linear relationship between t and log$_{10}N$
The line passes through the points (0, 3.08) and (5, 3.85)
Using this information,
(a) find an equation for this line.
(b) Find the value of a and the value of b, giving your answers to 3 significant figures.
When $t = T$ the number of subscribers is 500 000
According to the model,
(c) find the value of T