Question

The number y of hits a new website receives each month can be modeled by y = 4060ekt, where t represents the number of months the website has been operating. In the website's third month, there were 11,000 hits. Find the value of k. (Round your answer to four decimal places.) k =

Answer 1

Answer: The value of k = 0.9031

Step-by-step explanation: The equation for calculating the number of hits has been given as y = 4060ekt, where y is the number of hits and t is the number of months the website has been operating.

The values for y and t has been determined already as given, (y = 11000 and t = 3) therefore we can substitute for the known values in order to calculate the value of the unknown, k.

y = 4060kt

11000 = 4060 x 3k

11000/(4060 x 3) = k

11000/12180 = k

0.9031198 = k

Rounded to four decimal places,

k = 0.9031