A tutor is starting a business. In the first year, they start with 5 clients and charge $10 per week for an hour of

tutoring with each client. For each year following, they

double the number of clients and the number of hours

each week. Each new client will be charged 150% of

the charges of the clients from the previous year.

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.