Problem 1: The function f(n)= 12 n+ 500 represents the total amount given to charity as a function of the number of students present at the event.

a. If the capacity of the gym is 700 students and it is a sellout , how much will be given to charity.

b. if the event is not a sellout , what would be the practical domain of the function? What is the practical range?

c.How much did each student contribute to charity? What does the value represent in the equation. Explain

d. Did the charity start out with any money? If yes how much money did the charity start out with?Do you think that someone donated some money before the event took place. What does the value represent in the equation? Explain

e. If the school would like to donate $3000 to their favorite charity, how many student will have to attend to make that happen?

Problem 2: According to the National Bar Association , from 1980 to 2013 , the number of the U.S Lawyers increased in thousand from 575 to 1268.

a. The number of U.S lawyers is a function of the number of years since 190 ( Use 0 to represent the year 1980 , 1 to represent 1981 and so forth) Write the two ordered pairs describing this situation.

b. Assume that this is function is linear and write the slope intercept equation of the line that represents this data.

c. What is the practical meaning of the slope in this equation? ( Remember , your slope is in Thousands).

d. How many lawyers were there in the United States in 2000?