Concept explainers
a.
Use a graphing utility to draw
a.
Answer to Problem 20AYU
Explanation of Solution
Given information:
A paediatrician wanted to find a linear model that relates a child’s height,
Use a graphing utility to draw scatter diagram.
Calculation:
The scatter diagram is as shown,
Hence, The scatter diagram is as plotted.
b.
Express the model using function notation.
b.
Answer to Problem 20AYU
Explanation of Solution
Given information:
A paediatrician wanted to find a linear model that relates a child’s height,
Use a graphing utility to find the line of best fit that models the relation between height and head circumference. Express the model using function notation.
Calculation:
Express the model using function notation.
We know the linear function,
Hence, the line in function notation is,
c.
Interpret the slope.
c.
Answer to Problem 20AYU
Head circumference is increased by smaller amount as compared to the height of the child.
Explanation of Solution
Given information:
A paediatrician wanted to find a linear model that relates a child’s height,
Interpret the slope.
Calculation:
The slope of line
As the slope of the line is less than one so head circumference is increased by smaller amount as compared to the height of the child.
Hence, head circumference is increased by smaller amount as compared to the height of the child.
d.
Predict the head circumference of childe that is
d.
Answer to Problem 20AYU
Explanation of Solution
Given information:
A paediatrician wanted to find a linear model that relates a child’s height,
Predict the head circumference of childe that is
Calculation:
The head circumference of childe that is
Put
Hence, the head circumference of childe that is
e.
What is height of child whose head circumference is
e.
Answer to Problem 20AYU
Explanation of Solution
Given information:
A paediatrician wanted to find a linear model that relates a child’s height,
What is height of child whose head circumference is
Calculation:
Put
Hence, the height of child is,
Chapter 3 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus: Early Transcendentals (2nd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
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