Students must be able to represent problems using an input-output table and numerical expressions. These representations are used to generate a number pattern that follows a given rule. The rule represents the relationship of the values in the sequence and their position in that sequence.
Trey sells 50-pound bags of wood chunks to be used for smoking meat in grills. One day he sold two bags for $30, five bags for $75, seven bags for $105, and four bags for $60. Represent the situation using an input-output table and a numerical expression that could be used to find the cost for b, the number of bags sold.
Use the expression to find the cost of 12 bags of wood, and justify your answer by showing the sequence representing the relationship between the input and the output.
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4.5 Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations.
(B) represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence