A travel agent collected data from a group of past clients regarding what type of reservation they plan to make in the future and
which package they plan to choose. The types of reservations offered at the agency are tours, cruises, and resorts, and the
packages offered are either basic or deluxe.
The two-way table below displays the relative frequencies of the data
Basic
Tours Cruises Resorts
0.10 0.15 0.25
0.20
0.08 0.22
0.30 0.23 0.47
Total
0.50
0.50
1.00
Deluxe
Total
Based on the relative frequencies of the table, which two-way table is a possible representation of the data collected?
Tours
Cruises Resorts
Cruises Resorts
20
50
Tours
20
Basic
30
Basic
30
50
Deluxe
40
16
44
Deluxe
40
36
44
w
X.
Tours
Tours
Cruises Resorts
Basic
20
Cruises Resorts
30 50
26
54
Basic
20
30
50
Deluxe
40
Deluxe
40
16
44
Y.
Z.

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?