Mth 1610 integrated mathematics 1
due thursday, september 12th in class
cap #1
the diagram below shows a method for creating a covered gift box from a flat,
rectangular sheet of paper, with dimensions 8.5 inches by 14 inches (standard legal-size
paper) by cutting out the shaded squares. after choosing the length of the side of your
square [the distance x in the diagram), you would cut out the squares by cutting along the
solid lines and then fold along the dotted lines.

How to write 3 tenths and 5 tenths as a decimal

Two cars which are 40 miles apart start moving simultaneously in the same direction with constant speeds. if the speed of the car which is behind is 56 mph and the speed of the other car is 48 mph, how many hours will it take for the car which is behind to catch up the car ahead of it?

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?