The senior classes at High School A and High School B planned separate trips to New York City. The senior
class at High School A rented and filled 1 van and 6
buses with 372 students. High School B rented and
filled 4 vans and 12 buses with 780 students. Each van
and each bus carried the same number of students.
How many students can a van carry? How many
students can a bus carry?

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?