quiz1-10.40-soln. - graph is a straight line which...

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MATH 101-B Fall 2004 Quiz 1 ( 10:40-12:30 Group) Oct. 1, 2004 Time: 10 minutes Name: Student No: Follow the directions. No work No credit!! Problem 1 (5 pts. each) The temparature of a room is 20 C initially and it is increasing by time due to bad air conditioning. Write a formula for the temparature T in C at time t (in minutes) in each of the following cases. Sketch their graphs. a. T increases 0.2 C every minute. b. T increases by 5% a minute. Solution: a. The formula is T t ± 20 ± 0.2 t , which is a linear function. Therefore its
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Unformatted text preview: graph is a straight line which increases (i.e. the slope is positive). 30 25 20 15 10 5 30 25 20 15 10 5 t (min) T (C) Graph of T & t ± & 20 ± 0.2 t b. The formula is T & t ± & 20 1 ± 5 100 t & 20 & 1.05 ± t , which is an exponential function. It is an increasing function since the base value is ² 1. 30 25 20 15 10 5 100 80 60 40 20 t (min) T (C) T (C) Graph of T & t ± & 20 & 1.05 ± t...
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