(1 point) On Tuesday, Lynne starts her trip on Interstate 70 at 7am from Exit 388...

 

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(1 point) On Tuesday, Lynne starts her trip on Interstate 70 at 7am from Exit 388 in Lawrence. She arrives at her destination and exists Interstate 70 through Exit 279 in Denver at 4pm the same day. She returns to Lawrence, on Friday, by entering Interstate 70 through Exit 279 at 7am and arriving at Exit 388 at 4pm. (a) Let T(t) be the function of Lynne's distance from Exit 388, at time t, on Tuesday, and F(t) be the function of Lynne's distance from Exit 388, at time t, on Friday. Are T and F continuous functions? (b) On Tuesday, Lynne stops at a gas station and sits in a fast food restaurant at noon for 30 minutes. Describe the graph of T during that 30 minutes as precisely as possible. (c) Using the Intermediate Value Theorem, show that there is a point on Interstate 70 that Lynne will cross at exactly the same time of day on both days. (1 point) On Tuesday, Lynne starts her trip on Interstate 70 at 7am from Exit 388 in Lawrence. She arrives at her destination and exists Interstate 70 through Exit 279 in Denver at 4pm the same day. She returns to Lawrence, on Friday, by entering Interstate 70 through Exit 279 at 7am and arriving at Exit 388 at 4pm. (a) Let T(t) be the function of Lynne's distance from Exit 388, at time t, on Tuesday, and F(t) be the function of Lynne's distance from Exit 388, at time t, on Friday. Are T and F continuous functions? (b) On Tuesday, Lynne stops at a gas station and sits in a fast food restaurant at noon for 30 minutes. Describe the graph of T during that 30 minutes as precisely as possible. (c) Using the Intermediate Value Theorem, show that there is a point on Interstate 70 that Lynne will cross at exactly the same time of day on both days.

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