Students should use their knowledge of proportional and non-proportional relationships to determine when functions are proportional or non-proportional. Proportional functions will be in the form y = kx and non-proportional functions will be in the form y = mx + b. Students should be determining if a function is proportional or non-proportional in a mathematical or real-world situation.
The table below shows the relationship between the amounts of money in Sarah’s savings account and the number of months she has been saving money. Is this an example of a proportional relationship? Justify your thinking.
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8.5 Proportionality. The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. The student is expected to:
(H) identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems