From Wikipedia: "Blood pressure (BP) is the pressure exerted by circulating blood on the walls of blood vessels, and is one of the principal vital signs. During each heartbeat, BP varies between a maximum (systolic) and a minimum (diastolic) pressure." It is usually reported as the systolic value over the diastolic value in mm of mercury.
A patient with a blood pressure of 170/100 is treated with medication X. The patient's blood pressure decreased to 140/92 when given 3.00 mg/day of the medication. It is desired to lower his systolic blood pressure to 100 (with a hoped for target of 100/70, but choose the dosage to match the systolic value). Assuming no side effects and linear response, what should the dosage be increased to?
The dosage should be increased to ?????? mg/day.
A patient with a blood pressure of 170/100 is treated with medication X. The patient's blood pressure decreased to 140/92 when given 3.00 mg/day of the medication. It is desired to lower his systolic blood pressure to 100 (with a hoped for target of 100/70, but choose the dosage to match the systolic value). Assuming no side effects and linear response, what should the dosage be increased to?
The dosage should be increased to ?????? mg/day.
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Point 1 = (170, 100, 0)
Point 2 = (140, 92, 3)
Point 3 = (100, 70, ?)
Slope[P1,P2] = (-1/10, -3/8)
Write the lines:
z(x) = -(1/10)(x - 170)
z(y) = -(3/8)(y - 100)
Solve for z when x = 100, y = 70:
z(x) = -(1/10)(100 - 170) = 7
z(y) = -(3/8)(70 - 100) = 90/8 = 11.25
Depends which is more important, you can't get both to be equal.
Point 2 = (140, 92, 3)
Point 3 = (100, 70, ?)
Slope[P1,P2] = (-1/10, -3/8)
Write the lines:
z(x) = -(1/10)(x - 170)
z(y) = -(3/8)(y - 100)
Solve for z when x = 100, y = 70:
z(x) = -(1/10)(100 - 170) = 7
z(y) = -(3/8)(70 - 100) = 90/8 = 11.25
Depends which is more important, you can't get both to be equal.