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A pediatrician records the age .x (in yr) and average height y (in inches) for girls between the ages of 2 and 10. Height of Girls vs. Age 50- 40- (4,38) 30- 20- 10- 0 Age(yr) Part: 0/4 Part 1 of 4 (a) Use the points (4, 38) and (8, 50) to write a linear model for these data. X y = Height (in.) (8,50)

A pediatrician records the age .x (in yr) and average height y (in inches) for girls between the ages of 2 and 10. Height of Girls vs. Age 50- 40- (4,38) 30- 20- 10- 0 Age(yr) Part: 0/4 Part 1 of 4 (a) Use the points (4, 38) and (8, 50) to write a linear model for these data. X y = Height (in.) (8,50)

Calculus: Early Transcendentals
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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### Growth Analysis of Girls Between Ages 2 and 10 A pediatrician records the age \( x \) (in years) and average height \( y \) (in inches) for girls between the ages of 2 and 10. The data is visualized in a graph titled **Height of Girls vs. Age**. #### Graph Explanation: The horizontal axis (x-axis) represents the age of the girls in years (Age(yr)), ranging from 0 to 10 years. The vertical axis (y-axis) represents their height in inches (Height (in.)), ranging from 10 to 55 inches. The graph features several data points (black dots) plotted on the chart, illustrating the relationship between age and height. Two specific data points are labeled on the graph: - At age 4, the height is 38 inches, marked as (4, 38). - At age 8, the height is 50 inches, marked as (8, 50). #### Problem: The task is to use the points (4, 38) and (8, 50) to write a linear model for these data. #### Part 1 of 4: (a) Calculate the linear model \( y = mx + b \). To calculate the slope (\( m \)) of the line that passes through these points, use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Detailed explanation on the graph and step-by-step solutions to follow. Complete the parts to understand and complete the model correctly. #### Instructions: - Use provided fields to calculate and input your equation. - Check each step for accuracy. © 2022 McGraw Hill LLC. All Rights Reserved.
Transcribed Image Text:### Growth Analysis of Girls Between Ages 2 and 10 A pediatrician records the age \( x \) (in years) and average height \( y \) (in inches) for girls between the ages of 2 and 10. The data is visualized in a graph titled **Height of Girls vs. Age**. #### Graph Explanation: The horizontal axis (x-axis) represents the age of the girls in years (Age(yr)), ranging from 0 to 10 years. The vertical axis (y-axis) represents their height in inches (Height (in.)), ranging from 10 to 55 inches. The graph features several data points (black dots) plotted on the chart, illustrating the relationship between age and height. Two specific data points are labeled on the graph: - At age 4, the height is 38 inches, marked as (4, 38). - At age 8, the height is 50 inches, marked as (8, 50). #### Problem: The task is to use the points (4, 38) and (8, 50) to write a linear model for these data. #### Part 1 of 4: (a) Calculate the linear model \( y = mx + b \). To calculate the slope (\( m \)) of the line that passes through these points, use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Detailed explanation on the graph and step-by-step solutions to follow. Complete the parts to understand and complete the model correctly. #### Instructions: - Use provided fields to calculate and input your equation. - Check each step for accuracy. © 2022 McGraw Hill LLC. All Rights Reserved.
### Educational Resource: Tracking Puppy Growth **Scenario:** Caroline adopted a puppy named Dodger from an animal shelter in Chicago. She recorded Dodger’s weight during the first two months. **Data Collection:** The data in the graph represent Dodger's weight (in pounds), \(y\), \(x\) days after adoption. #### Graph Analysis: Weight vs. Days After Adoption The graph displayed is titled "Weight vs. Days After Adoption." It shows the relationship between the number of days since adoption and Dodger's weight. - The x-axis represents the "Number of Days" starting from 0 to 50. - The y-axis represents Dodger's "Weight (lb)" ranging from 0 to 30. **Points Highlighted:** - (12, 14.3): This data point indicates that on the 12th day, Dodger's weight was 14.3 pounds. - (40, 22): This data point indicates that on the 40th day, Dodger's weight was 22 pounds. #### Part 0 / 5 ##### Part 1 of 5 **Task:** (a) Use the points (12, 14.3) and (40, 22) to write a linear model for these data. The space below is provided for the user to input values to create the linear equation. ``` y = __x + __ ``` **Interactive Elements:** - There are buttons to "Skip Part" and "Check" answers. - Users can save their progress with "Save For Later" or submit the assignment with "Submit Assignment." --- *Please refer to the graph and task instructions above to solve the problem of writing a linear model based on the given data points.*
Transcribed Image Text:### Educational Resource: Tracking Puppy Growth **Scenario:** Caroline adopted a puppy named Dodger from an animal shelter in Chicago. She recorded Dodger’s weight during the first two months. **Data Collection:** The data in the graph represent Dodger's weight (in pounds), \(y\), \(x\) days after adoption. #### Graph Analysis: Weight vs. Days After Adoption The graph displayed is titled "Weight vs. Days After Adoption." It shows the relationship between the number of days since adoption and Dodger's weight. - The x-axis represents the "Number of Days" starting from 0 to 50. - The y-axis represents Dodger's "Weight (lb)" ranging from 0 to 30. **Points Highlighted:** - (12, 14.3): This data point indicates that on the 12th day, Dodger's weight was 14.3 pounds. - (40, 22): This data point indicates that on the 40th day, Dodger's weight was 22 pounds. #### Part 0 / 5 ##### Part 1 of 5 **Task:** (a) Use the points (12, 14.3) and (40, 22) to write a linear model for these data. The space below is provided for the user to input values to create the linear equation. ``` y = __x + __ ``` **Interactive Elements:** - There are buttons to "Skip Part" and "Check" answers. - Users can save their progress with "Save For Later" or submit the assignment with "Submit Assignment." --- *Please refer to the graph and task instructions above to solve the problem of writing a linear model based on the given data points.*
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