| Use the procedures for graphing Rational Functions and your new knowledge of
Oblique Asymptotes to graph the following functions:
Problem A: Reservoir Nightmare
A reservoir containing 1 million gallons of water has been tainted with arsenic. Scientists conducted several tests and found that the reservoir contains a 2% arsenic solution. Although scientists realize that the arsenic can't be removed from the supply, they do realize that they can reduce the percentage to safe levels. Suppose a safe level of arsenic is .001%. How much water must be added to the reservoir to make the water safe to drink? The reservoir can only hold 20 million gallons of water. Will it be possible to reduce the arsenic to safe levels? Is it feasible to make 1 million gallons safe to drink by adding pure water? Explain your answer! Problem B: Coke Can Measure the dimensions of a coke can and find out the volume of the can in cubic centimeters. Suppose the aluminum that is used in making the top and bottom of the can costs 2 cents per square centimeter while the sides are made of an aluminum that costs 1 cent per square centimeter. The soda can's tab also costs 2 cents. Maintaining the volume of the current coke can, create a cost function. If the costs given in this activity are **realistic, determine whether coke is packaged in the most cost effective can. Plot a table of values and show the most effective can for the price if you think it differs from the current can design. Should the soda company change the dimensions of its can? Why or why not? Is there anything about the design of the coke can that may effect the accuracy of your measurements? Compare your calculated volume (based on your measurements) to the amount of coke actually stored in the can. How close are your ***measurements? **Realize that the hypothetical costs used in this exercise were fabricated for this
"what if" scenario!** |
