Let f(t) = 5t 2 a. Find the equation for the secant line between the points (1, 5) and (2, 20) on the graph of the function.

Let f(t) = 5t2

a. Find the equation for the secant line between the points (1, 5) and (2, 20) on the graph of the function.

b. Find i) the average rate of change of f(t) as a function of ∆t near t0 = 1. ii) the instantaneous rate of change at time t0 = 1 (use the definition of the instantaneous rate of change as a limit).