Color Concentration Classwork Example 1 and 2 Homework

Color Concentration Classwork: Example 1 and 2 Homework (day 39): Example 3 and 4 from pptx Quiz next block

Ex: 1 A bowl contains a total of 1 Liter (L) of liquid. All of the liquid is clear water, except for 16 milliliters (m. L) which is colored fluid. Every hour 250 m. L of liquid is removed from the bowl and replaced with 250 m. L of clear water. a) Copy and complete a table similar to the one in part d, recording the amount of colored fluid in the bowl over several hours. b) Write a recursive routine to describe this sequence. c) How many hours will pass before there is less than 1 m. L of coloring? d) What happens in the long run? Time period Amt of clear colored liquid (m. L) 1 984 16 2 ? ? 3 ? ? ?

Ex 2: Start over with Liter (L) of liquid. Again, all of the liquid is clear water, except for 16 milliliters (m. L) which is colored fluid. At the end of each hour, 250 m. L of liquid is removed from the bowl and replaced with a mixture of 234 m. L of coloring. a) Copy and complete a table similar to the one in part d, recording the amount of colored fluid in the bowl over several hours. b) Write a recursive routine to describe this sequence. c) Do the contents in the bowl ever turn into pure coloring? Justify, explain why or why not. a) What happens in the long run? Time period Amt of clear colored liquid (m. L) 1 984 16 2 ? ? 3 ? ? ?

Ex 3: Consider example 2 of the investigation. If you double the amount of colored fluid added each time from 16 m. L to 32 m. L, but continue to add only 250 m. L of fluid, will the final concentration be doubled? Write a convincing argument for your position.

Ex 4: The ideal concentration of chlorine in a swimming pool is between 1 and 2 parts per million (ppm). If the concentration gets as high as 3 ppm, the pool is safe, but swimmers are a bit uncomfortable with burning eyes. If the concentration is less than 1 ppm, slime takes over. Suppose 15% of the chlorine presented in the pool dissipates (disappears naturally) during a period of one day Use a graph to answer each question. a) If the chlorine content is 3 ppm, how long will it be before the slime takes over? b) If the chlorine content starts out at 3 ppm, and 0. 5 ppm is added daily, will the concentrate be increased or decreased? Will the pool ever e pure chlorine? Explain. c) Suppose the original chlorine content is 3 ppm, and 0. 1 ppm is added daily. Describe what happens.