Blood Pressure and Age A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a + b ln(x +1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 38 and b= 27. Using this model, estimate the rate of change of pressure with respect to time after 48 years. Round to the nearest hundredth (2 decimal places). millimeters per year

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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Blood Pressure and Age
A research group developed the following mathematical model relating systolic blood pressure and
age:
P(x)
= a + b ln(x + 1),
where P(x) is pressure, measured in millimeters of mercury, and x is age in years.
By examining Guilford County hospital records, they estimate the values for Guilford County to be
a 6=27.
=38 and b
Using this model, estimate the rate of change of pressure with respect to time after 48 years. Round
to the nearest hundredth (2 decimal places).
millimeters per year
Transcribed Image Text:Blood Pressure and Age A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a + b ln(x + 1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a 6=27. =38 and b Using this model, estimate the rate of change of pressure with respect to time after 48 years. Round to the nearest hundredth (2 decimal places). millimeters per year
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