A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a+bln(x + 1), where P(x) is pressure, measured in millimeters of mercury, and a is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 40 and b = 23. Using this model, estimate the rate of change of pressure with respect to time after 38 years. Round to the nearest hundredth (2 decimal places). millimeters per year

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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A research group developed the following mathematical model relating systolic blood
pressure and age:
P(x) = a+bln(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 = 40 and b = 23.
Using this model, estimate the rate of change of pressure with respect to time after 38 years.
Round to the nearest hundredth (2 decimal places).
millimeters per year
Transcribed Image Text:A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a+bln(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 = 40 and b = 23. Using this model, estimate the rate of change of pressure with respect to time after 38 years. Round to the nearest hundredth (2 decimal places). millimeters per year
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