Suppose that a person is riding a bicycle on a straight road and that f(t) computes the total distance in feet that the rider has traveled after t seconds. To calculate the person's average velocity between time t₁ and time t₂, we can evaluate the difference quotient

(a) For the given f(t) and the indicated values of t₁ and t₂, calculate the average velocity of the bike rider. Make a table to organize your work. 

(b) Make a conjecture about the velocity of the bike rider precisely at time t₁.

Transcribed Image Text:

f(t₂) -f(t₂) 1₂ - 11