# Fun_People Archive 25 OctThe point on the graph at which the relationship starts ...

```Date: Wed, 25 Oct 95 17:34:14 -0700
From: Peter Langston <psl>
To: Fun_People
Subject: The point on the graph at which the relationship starts ...

Forwarded-by: bostic@bsdi.com (Keith Bostic)
Forwarded-by: cate3@netcom.com
Forwarded-by: Schwartz Victor
Forwarded-by: Herb Kanner (kanner@apple.com)

A homework problem from "Calculus Preliminary Edition" by Deborah
Hughes-Hallett, Andrew M.  Gleason, et al.

9. In her "Guide to Excruciatingly Correct Behavior," Miss Manners states:

"There are three possible parts to a date of which at least two must be
offered: entertainment, food and affection.  It is customary to begin a
series of dates with a great deal of entertainment, a moderate amount of
food and the merest suggestion of affection.  As the amount of affection
increases, the entertainment can be reduced proportionately.  When the
affection has replaced the entertainment, we no longer call it dating.
Under no circumstances can the food be omitted."

Based on this statement, sketch a graph showing entertainment as a function
of affection, assuming the amount of food to be constant. Mark the point on
the graph at which the relationship starts, as well as the point at which
the relationship ceases to be called dating.

```