Pre-Algebra Comparing and Scaling 2.3 Monday, September 8 Problem 2.2 ACE Questions #1 and #2 answers What did we do last time 2.2 In investigation 2.2 we completed a table to pizza prices for Howdy and Royal Pizza What was the equation we came up with for Howdy’s pizza? Equation for Howdy’s Pizza: P=13n How about for Royal Pizza? Equation for Royal Pizza: P=12n What does the 13 represent in the equation for Howdy’s pizza? What does the 12 represent in the equation for Royal’s pizza? Learning Target I will be able to identify a unit rate in • a description, • an equation • a table, or • a graph. Vocabulary Constant of proportionality: The constant ratio of two proportional quantities, x and y; usually written as y = kx, where k is the constant of proportionality. For example in the equation y= ¾ x, the constant or proportionality is ¾. The graph for this relationship is shown below. Who can tell me the definition of a unit rate? Problem 2.3 A Problem 2.3 A Number of oranges (n) 10 5 1 20 11 13 Cost, C $2 $1 $.20 $4 $2.20 $2.60 Problem 2.3 A Number of oranges (n) 10 5 1 20 11 13 Cost, C $2 $1 $.20 $4 $2.20 $2.60 Problem 2.3 A 5a. Every time the cost of oranges goes up by $1, the number of oranges increases by 5. 5b. C = .20n, this equation says that every time the number of oranges goes up by 1, the cost goes up by $.20. 5c. $.20/1 orange and 5 oranges/$1 5d. The constant of proportionality and the unit rate are the same. Number of oranges (n) 10 5 1 20 11 13 Cost, C $2 $1 $.20 $4 $2.20 $2.60 Problem 2.3 B Problem 2.3 B Problem 2.3 B Problem 2.3 C Problem 2.3 C Problem 2.3 C 4. Gus should buy the pasta at Fresh Foods, it is $.83/box. Rate your understanding I will be able to identify a unit rate in • a description, • an equation • a table, or • a graph. Homework ACE Questions P. 51 #9 and #10

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