For a long-distance phone call, a hotel charges $9.99 for the first minute and $0.79 for each additional minute or fraction thereof. A formula for the cost is given by C(t) = 9.99 − 0.79⟨1 − t⟩, t > 0...

For a long-distance phone call, a hotel charges $9.99 for the first minute and $0.79 for each additional minute or fraction thereof. A formula for the cost is given by                                                                                                           C(t) = 9.99 − 0.79⟨1 − t⟩, t > 0 where t is the time in minutes.                     (Note: ⟨x⟩ = greatest integer n such that n ≤ x. For example, ⟨3.2⟩ = 3 and ⟨−1.6⟩ = −2.)                                                                                                         (a) Evaluate C(10.75). What does C(10.75) represent?                                         (b) Use a graphing utility to graph the cost function for 0 < t="" ≤="" 6.="" does="" the="" limit="" of="" c(t)="" as="" t="" approaches="" 3="" exist?="">