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Topic 5 Performance Assessment Form A Answer Key

This worksheet explores how medication dosages for children vary by weight, using floor functions to model dosage steps. Students graph and compare Medication A, B noting that Medication B's graph shifts 3 units left due to earlier dosage thresholds.

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    erwisjon 1 Name 5 Performance Assessment Form A Doctors and adults must administer some medications to babies and children based on weight. 1. The table at the right shows the dosage, in milligrams, Medication A Dosage for Medication A based on a child's weight w. Part A Is a graph that represents the data a ceiling function or a floor function? Graph the function that represents the data for Medication A. floor function Part E Dosage for Medication A if Weight is... Dosage ts... 9 I i n w m 1 lb 25 mg 11 untf2G417 lb 50 mg 17imit26422 lb 75 mg 22 imCTSiA£7 lb 100 mg A second medication, Medications, can be more effective than Medication A, but it requires a higher dose. For Medication B, each value for the weight ranges in the first column of the table for Medication A above is reduced by 3 lb. For example, for a child weighing at least 6 lb and less than 8 lb, the dosage for Medication B is 25 mg. How would a graph showing the dosage of Medication B based on weight be different from the graph for Medication A? The graph would be shifted 3 Dosa ge (mg) x 28“ 8 12 16 20 24 Weight (lb) units to the left. Part C Dosage for Medication B From Part B, graph the function for 100 Medication B. „ 8U 60 40 Dosage (mgj 20 4 8 12 16 20 Weight (lb) x 24 28‘

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