Question

A popular search engine is targeting European countries where the number of online households is expected to grow at a steady rate. Data was taken over time, and it was found that the number of online houses (in millions) projected can be modeled by the following function:

N(t) = 34.68 + 23.88 ln(1.05t + 5.3), f or 0 _< t _< 2.

The values of t are in years and when t = 0 , the year is 2004. Address the following questions:

a. What was the projected number of online households at the beginning of 2005?

b. How fast was the projected number of online households increasing at the beginning of 2005

Answer 1

a. Well, plug in t=1 and evaluate N(1)

b. dN/dt = 23.88*1.05/(1.05t+5.3)
plug in t=1 and evaluate N'(1)

Answer 2

Hello Steve. Thank you for your help. Can you please explain the steps and in details, so i will know where my problem was. Thanks