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Linear Equations and Problem Solving

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Shared by: Lisa Baker
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5/31/2008
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Objective- To write linear equations to describe situations and solve problems. Snowflake Problem Instance: 1 2 3 4 Number of Chips: 7 C I 1 2 7 13 13 19 25 6 6 6 6 Let I = Instance or Design #. Let C = Number of Chips Used. C is dependent on I 3 4 5 19 25 31 C = ___I + ___ 6 1 Objective- To write linear equations to describe situations and solve problems. Snowflake Problem Instance: 1 2 3 4 Number of Chips: 7 C I 1 2 7 13 13 19 25 6 6 6 6 Let I = Instance or Design #. Let C = Number of Chips Used. C is dependent on I Change Start Value 3 4 5 19 25 31 C= 6 I + 1 Objective- To write linear equations to describe situations and solve problems. Instance: Snowflake Problem 0 1 2 3 4 Number of Chips: 7 C I 1 2 7 13 13 19 25 6 6 6 6 Let I = Instance or Design #. Let C = Number of Chips Used. C is dependent on I Change Start Value 3 4 5 19 25 31 C= 6 I + 1 This chart shows the price of salad at a local market. Salad Weight Price 1 oz 2 oz 3 oz 4 oz 5 oz $0.65 $0.90 $1.15 $1.40 $1.65 0.25 0.25 1) How much would a 6 oz salad cost? $1.65 + 0.25 = $ 1.90 2) Write an equation for 0.25 the cost of a salad that 0.25 weighs w oz. Let p = price of salad 3) How much would a 10 oz p = 0.25 w + 0.40 salad cost? p = 0.25 w + 0.40 Change Start p = 0.25 ( 10 ) + 0.40 Value p = 2.50 + 0.40 = $2.90 A taxi cab charges a flat rate of $2.50 and 15 c per mile. Write a linear equation for the charge in terms of the number of miles driven. Let C = charge in dollars Let m = # of miles driven C = 2.50 + 0.15 m Start Value Change A phone company charges $17.50 for the first 30 minutes of toll charges and 12 c for each additional minute . Write a linear equation for the charge in terms of the number of minutes. Let C = charge in dollars Let m = # of minutes m C 1 10 20 30 31 32 33 17.50 17.50 17.50 17.50 17.50 + 0.12 17.50 + 0.24 17.50 + 0.36 C = 17.50 + 0.12 m Start Value Change C = 17.50 + 0.12 (m- 30) for m > 30
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