A market research company finds that traffic in a local mall over the course of a day could be estimated by the function P(t)=-1800cos((pie(9))/6 t)+1800 where P,is the number of people going to the mall ,and t is the time, in hours ,after the mall opens. The mall opens at 9.30 a.mi)sketch the graph of function P(t)ii)When does the mall reach its peak hours and state the number of people.iii)Estimate the number of people in the mall at 7.30p.m

Question

A market research company finds that traffic in a local mall over the course of a day could be estimated by the function P(t)=-1800cos((pie(9))/6 t)+1800 where P,is the number of people going to the mall ,and t is the time, in hours ,after the mall opens. The mall opens at 9.30 a.mi)sketch the graph of function P(t)ii)When does the mall reach its peak hours and state the number of people.iii)Estimate the number of people in the mall at 7.30p.m
iv)Determine the time when the number of people in the mall reaches 2570.

mt · Answer

P(t)=-1800cos((pie(n))/6 t)+1800

Steve · Answer

Grrrr! The Greek letter is pi
The dessert is pie!

Here is the graph. I expect you can use it to help with the other questions.

http://www.wolframalpha.com/input/?i=-1800cos%289%CF%80%2F6+t%29%2B1800+for+0+%3C%3D+t+%3C%3D+10