For the 2009 Major League Baseball and National Football League seasons, based on average ticket prices, Three baseball tickets and two football tickets would have cost $229.90, while two baseball tickets and one football ticket would have cost $128.27. 1. Define variables 2. Write a system of equations to represent this situation 3. Solve the system to find out the price of each ticket sold. 4. Prove and explain how you know that your answer is correct. 5. If a family of 5 would like to attend one game during the football season and one during the baseball season how much would it cost them? 6. How much was the average price of a football game ticket last year to see the Giants, how about the average price of baseball ticket to see Yankees Play?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Which equation represents a direct linear variationa. y=x2b. y=2/5xc. y=1/xd. y=x+3