An advertising agency has found that when it promotes a new product in a certain market of

Question:

An advertising agency has found that when it promotes a new product in a certain market of 350,000, the number of people x who are aware of the product t days after the ad campaign is initiated is given by
x = 350,000(1 - e-0.077t)
(a) How many people (to the nearest thousand) are aware after 1 week?
(b) How long (to the nearest day) before 300,000 are aware of the new product?