a
Draw a
a
Answer to Problem 17AYU
Explanation of Solution
Given information:
The following data represents the weight (in grams) of various candy bars and the corresponding number of calories.
Draw a scatter diagram of the data treating weight as the independent variable.
Calculation:
Draw a scatter diagram that relates the weight (in grams) of various candy bars and the corresponding number of calories.
Hence, the result shown in scatter plot.
b.
What type of relation appears to exist between the weight of a candy bar and the number of calories?
b.
Answer to Problem 17AYU
A linear relation exists.
Explanation of Solution
Given information:
The following data represents the weight (in grams) of various candy bars and the corresponding number of calories.
What type of relation appears to exist between the weight of a candy bar and the number of calories?
Calculation:
In the scatter diagram, the plotted points lie somewhat along a straight line that slants downward from left to right.
Hence, a linear relation exists.
c.
Find a linear model that contains the points.
c.
Answer to Problem 17AYU
Explanation of Solution
Given information:
The following data represents the weight (in grams) of various candy bars and the corresponding number of calories.
Select two points and find a linear model that contains the points.
Calculation:
Find a line that fits the data given, select two points from scatter plot and find the slope of line that contains the points.
Consider points,
Slope
So,
Now find the equation of line that contains the points
Now substitute
Hence, the equation of line is,
d.
Graph the line on scatter plot.
d.
Answer to Problem 17AYU
Explanation of Solution
Given information:
The following data represents the weight (in grams) of various candy bars and the corresponding number of calories.
Graph the line on scatter plot drawn in part
Calculation:
Let Graph the line on scatter plot
Hence, the graph of line is plotted.
e.
Use the linear model to predict the number of calories in a candy bar.
e.
Answer to Problem 17AYU
Explanation of Solution
Given information:
The following data represents the weight (in grams) of various candy bars and the corresponding number of calories.
Use the linear model to predict the number of calories in a candy bar that weight
Use the linear model to predict the number of calories in a candy bar that weight
Put
Hence, the candy bar that weight
f.
Interpret the slope of the line.
f.
Answer to Problem 17AYU
Explanation of Solution
Given information:
The following data represents the weight (in grams) of various candy bars and the corresponding number of calories.
Use the linear model to predict the number of calories in a candy bar that weight
Interpret the slope of the line found in part
Calculation:
Interpret the slope of the line.
If the weight of candy bar is increased by
Hence, as the candy bar is increased by
Chapter 3 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
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