2. Sales for a farm company increased by 30% in 2009 and fell by 20% in 2010. The business owner believes that over the 2-year period, sales increased by 10Wo. a. Is the business owner correct that 30% - 20% would mean a 10% increase in sales? Why or why not? b. By what percent did sales actually change in the 2-year period? Explain your thinking. 0. By what percent would sales have to decrease in the second year for sales to actually be a 10% increase? Be sure to show your work. 3. A store is offering a 30% discount on all items purchased. The cashier offers an additional 20% off for opening a store credit card. a. Suppose you opened a store credit card and were eligible for both discounts. If your purchase totaled $450, how much would you pay? Be sure to show your work. b. Are both discounts equivalent to 50% off? If not, what percent are both discounts equivalent to? 0. Assuming you were eligible for both discounts, would it be better to apply the 30% discount first or the 20% discount first? Explain your thinking. Percentage Problems 1. A store manager increases the price of a $60 pair of shoes by 20%. After a few weeks, because of falling sales, the manager reduces the price of the shoes by 20%. a) What is the new sale price for the shoes? Be sure to show your work. b) Why are the shoes not back to $60? 0) By what percent should the shoes be decreased in order to have the price back at $60? Be sure to show your work