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Extra Challenge Problems College Algebra
Dr. Robert J. Rapalje, Retired Seminole State College of Florida Sanford, FL 32773
1a) Solve
the quadratic equation:
b) Solve
the quadratic equation:
2. The number of bacteria is a culture "t" minutes after the start of an experiment is given by the formula
a) Find the initial population. b) Find the population after 1 hour. c) How long will it take the population to double? 3. The population of Canada is 30 million people and is growing at an annual rate of 1.4%. The population of Germany is 80 million people and is decreasing at an annual rate of 1.7%. In how many years will the population of Canada be equal to the population of Germany? (Use logarithms to solve the resulting equation and answer accurate to 2 decimal places.)
4. Solve for t:
5. Find an appropriate
window and sketch the graph of :
6. Use the
Kapustinskii Equation and solve for
7. A plane flies from Pittsburg to London at an average speed of 600 mph. The average speed for the return trip is 500 mph. What is the average speed for the round trip between Pittsburg and London, and explain why the average speed is not 550 mph? (From Sarah in Pennsylvania!) 8. A box is to be made from a rectangular piece of cardboard that is 56 inches wide and 65 inches long by cutting a square from each corner and folding up the sides of the rectangle. Find the maximum volume that can be achieved when an equal square is removed from each corner. NOTE: Either a graphing calculator or calculus will be required for this one!! Click here for solution! (Solution coming soon!) 9. Given the area of a rectangle is 90m2 and the perimeter of the rectangle is 40m, find the breadth of the rectangle. (From Anthony in South Australia!)
10. Solve the quadratic
equation:
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