a. 1. Three learning models express the percent, P, of content learned by a person with an initial knowledge of 10% of the content, and n hours of studying the content. [2]Write the equation, and graph the linear function Pa(n) that grows constantly at a rate of 9%/hour. 100 b. [2]Write the equation, and graph the quadratic function Pb(n)with the vertex at (10, 100) and an initial value of (0,10). 10 C. [1]Graph the equation P(n) = -11.25(2)((-9) + 100; X = [0,10]. Hint use technology i. [1]What is the asymptote's equation? 10 n 1 Pa(n) P(n) Pe(n) d. ii. [1]Make a table of values, (rounding numbers to be just good enough to graph). 2 3 4 [2]Consider the context of this situation, and suggest the reasonable domain to consider when discussing all 3 functions. 5 6 7 8 e. [2]What is the range of Pe(n) 2. [4]Compare the graphs of Pa(n), Pb(n), and P(n); explain the intervals for which a. Pa(n) > Pe(n) b. Pb(n) > P(n) 9