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Pre-Calculus Practice Problem 16

Pre-Calculus Practice Problem 16 - different models One...

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Unit 1, Activity 1, Solving Problems Using Mathematical Modeling with Answers Blackline Masters, Advanced Math – Pre-Calculus Page 14 Louisiana Comprehensive Curriculum, Revised 2008 1. Stairs are designed according to the following principle: The normal pace length is 60 cm. This must be decreased by 2 cm for every 1 cm that a person’s foot is raised when climbing stairs. According to this design, how should the “tread length” (see diagram) depend upon the height of each “riser”? Students should recognize that the table shows a constant rate of change so the equation will be linear in nature. A carefully constructed graph will show a linear set of points . 2. Amy needs to buy a new gas water heater and has narrowed her choice down to two
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Unformatted text preview: different models. One model has a purchase price of $278.00 and will cost $17.00 per month to operate. The initial cost of the second model is $413.00 but because of the higher energy factor rating, it will cost an average of $11.00 a month to operate. a. Set up a table to compare the two heaters. b ) Use the table to write equations for the two models. Heater 1has the equation c = 17m + 278 and Heater 2 has the equation c = 11m + 413, where c is the cost per month and m is the number of months c. Graph the equations. What do you see? ) Month Heater 1 Heater 2 0 $278. $413. 1 $295. $424. 2 $312. $435. 3 $329. $446. Riser (R) Tread (T) 0 60 1 58 2 56 3 54 equation: T = -2R + 60...
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