For A Long Distance Phone Call A Hotel Charges 9 45 For The First Minute And 0 80 For Each Additional Minute Or Fract 1 (31.66 KiB) Viewed 45 times
For A Long Distance Phone Call A Hotel Charges 9 45 For The First Minute And 0 80 For Each Additional Minute Or Fract 2 (26.08 KiB) Viewed 45 times
For a long-distance phone call, a hotel charges $9.45 for the first minute and $0.80 for each additional minute or fraction thereof. A formula for the cost is given below, 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.) C(t)=9.45−0.80[[−(t−1)]] (a) Use a graphing utility to graph the cost function for 0<t≤5.
(b) Use the araph to complete the table below and observe the behavior of the function as t approaches 3.5. Use the graph and the table to find the following limit. t→3.5limC(t) (c) Use the graph to complete the table below and observe the behavior of the function as t approaches 3. Does the limit of C(t) as t approaches 3 exist?
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