The initial number of views for a reader board was 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number Enter your answer in the box.
This is an exponential growth problem. Let's write the equation for exponential growth.
\(P=P_{0} (1+r)^{n}\)
Where,
From the problem, we know initial number of views, \(P_{0}\), is 25. Rate of increase, r, is 0.18. Time, n, is 4 weeks. Plugging in these values in the equation and solving for P will give us the number of views expected in four weeks time.
\(P=(25)(1+0.18)^{4}\\=(25)(1.18)^{4}\\=48.47\)
Rounding to nearest whole number, it is 48.
ANSWER: 48