FRQ 1 A graphing calculator may be used for the following problem. The spread of a fungal infection in an ant colony can be modeled by dy y+1 = 2t dt where t is the time in hours and y is the percent of the ants infected. At t = 1 only three percent of the ants are infected. a) Write an equation for the line tangent to the graph of y at t = 1. Use the tangent line to approximate the percentage of the colony infected at t = 1.2. b) Find y explicitly in terms of t.