An aquarium tank in the shape of a rectangular prism is 56 cm long, 29 cm wide, and 24 cm high. The top of the tank is open, and the glass used to make the tank is 1 cm thick. The volume for the aquarium is 37,352 cm3. What if, to provide greater strength, the glass bottom were increased to a thickness of 4 cm? How much less water would the tank hold? The tank can hold cm3 less water than a tank that can hold 37,352 cm3 of water.

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?