The spread of a fungal infection in an ant colony can be modeled by dy dt =
y + 1
2√ t
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

Based on the graph, how is coal consumption likely to affect future generations? a. the higher our current rate of consumption, the less coal will be available in the future. b. current rates of consumption are irrelevant because new coal will form in the future. c. the lower our current rate of consumption, the more slowly coal will be replenished for the future. d. regardless of current rates of consumption, coal will always be available.