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
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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Business calculus
![**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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d29bdc9-47d1-4ff2-b560-e93fe0e23599%2F06f935ba-26af-44ad-af75-67f5dfe8c4ba%2F6yo5bz_processed.jpeg&w=3840&q=75)
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 \( a = 38 \) 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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