College algebra: Power functions and proportionality

Group Work - Power Functions and Proportionality 1) For a student at a state university, the cost of tuition is directly proportional to the number of credits the student takes. If the student takes a full load of 12 credits hours, h, the cost of tuition, C, will be $2790. a) Find the constant of proportionality. b) How much would the student have to pay if she took 16 credit hours? 2) If y varies inversely as x, and y = 15 when x = 1.5, find: a) The constant of proportionality k b) Find x when y = 48 c) What happens to y when x gets doubled? 3) The graph bellow has the form: y = kxp a) Is k positive or negative? b) Is p even or odd? C) Is p positive or negative? d) Asx>00,yb e) Where is the function increasing