Final answer:
The patient's weight in kilograms for the medication dosages of 150, 166, and 175 milliliters was calculated using the dosage equation y = 5x. The solutions in ordered pairs are (30, 150), (33.2, 166), and (35, 175) respectively.
Step-by-step explanation:
The question asks to find a patient's mass or weight in kilograms based on the provided medication dosages and the given dosage equation y = 5x, where y represents the medication dosage in milliliters and x represents the patient's weight in kilograms.
To solve the mathematical problem completely, we will calculate the value of x for each given dosage y and then provide the solutions as ordered pairs (x,y).
For dosage 150 milliliters:
5x = 150
x = 150 / 5
x = 30 kilograms
The ordered pair for the 150 milliliters dosage is (30, 150).
For dosage 166 milliliters:
5x = 166
x = 166 / 5
x = 33.2 kilograms
The ordered pair for the 166 milliliters dosage is (33.2, 166).
For dosage 175 milliliters:
5x = 175
x = 175 / 5
x = 35 kilograms
The ordered pair for the 175 milliliters dosage is (35, 175).
Understanding the importance of units in measurement, we applied the formula appropriately to give me a 500 word answer, calculating the patient's weight that corresponds with the set medication dosages.