Suppose that you hear that the support for a certain levy has increased by 25% in the past month. You know that 40 percent of the people were in favor of it before. Explain what the current support for the levy is and why there might be some confusion about it? Include the ideas of absolute and relative change in your answer.

2. In this case you hear that a certain item is on sale and is 75$ off. How much of a relative decrease that depends on the original cost. a. Find the original cost if that is a 25% decrease. b. Find the original cost if that is a 2% decrease.

3. Suppose you have 20 bags of coffee worth $4.00 per pound and you want to mix it with some bags of $10.00 /pound coffee. If your goal is to have the final mixture be worth $7.00 per pound, how many bags of the expensive coffee do you need to mix in?

4. Suppose that you have received 82% on the first 4 assignments in a class (worth a total of 400 points). a. What is the best grade you can receive in the class if there are still 600 points left in the class? b. If your goal is to get a 90% overall, what percent do you need to average on the remaining assignments in the class?

5. Suppose you are mixing an alloy that is 20% pure gold (by weight) with 30 pounds of another alloy that is 50% pure gold. How much of the 20%-alloy should you mix to obtain an alloy that is 40% pure gold?

6. Suppose you are selling tickets to the fair, $5 for adults and $2.50 for kids. If you sold 500 tickets and brought in $2000, how many of each ticket (adult/kid) did you sell?

A local police department has breathalyzers displaying false drunkenness in 5% of the cases in which the driver is sober. However, breathalyzers never fail to detect a truly drunk person. One in a thousand drivers is driving drunk. Suppose the police officers then stop a driver at random and force the driver to take a breathalyzer test. It indicates that the driver is drunk. We assume you don't know anything else about him or her. How high is the probability he or she really is drunk?

Many would answer as high as 95%, but the correct probability really much smaller.

a. Explain why that is true in a few sentences and showing some calculations. Perhaps pretend that you are arguing to a judge.