Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Chapter 1.4, Problem 1PT
To determine
The best graph of
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In recent decades, the percentage of Americans who always wear their seatbelt has been on the rise. The following table contains data[1] between the years 1992 and 2011 (n, number of years after 1992) representing the percentage (P) of Americans who always wear seatbelts. The graph contains a plot of these points along with a “fitted” line, which models (or approximates) the data points. The equation for this line appears below the graph.
n
0
4
8
12
16
19
P
70
75
79
83
87
91
P=1.07n+70.28
Estimate the percentage of Americans who always wear their seatbelt for 2002. Explain clearly and completely how you arrived at your answer.
Estimate the percentage of Americans who always wear their seatbelt for 2012. Explain clearly and completely how you arrived at your answer.
Estimate the percentage of Americans who always wear their seatbelt for 2024. Explain clearly and completely how you arrived at your answer.
Comment on the…
Refine your table by calculating values of x that go up in increments of 100 between these two
numbers. You can refine even further if you wish.
x, number of books sold
Income with publisher A, ($)
A =
Income with publisher B, ($)
B =
What is your best estimate for the number of books sold that make the plans equal?
Use the numerical data above to graphically compare the incomes. Construct a graph to model
both publishing plans on the same Cartesian Plane and attach it to this tutorial (you may use Excel
or DESMOS if you wish). Which quantity is to plotted on which axis?
Properly label and title your graph. What is your best estimate from your graph?
Now solve the problem algebraically. You are solving a system of equations by substitution.
Part C. Comment on the Process and Interpret the Results
Are the solutions you obtained numerically, graphically and algebraically consistent?
What factors must the students consider when deciding between these two offers?
what is the graph y=1/4x3
Chapter 1 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 1.1 - True or False: x2 + 6x + 2y = 1 defines y as a...Ch. 1.1 - Prob. 2PTCh. 1.1 - The implied domain of is:
(1, ∞)
(−∞, 1)
x ≠...Ch. 1.1 - Prob. 4PTCh. 1.1 - Prob. 5PTCh. 1.1 - Prob. 6PTCh. 1.2 - Prob. 1PTCh. 1.2 - Prob. 2PTCh. 1.2 - Prob. 3PTCh. 1.2 - Prob. 4PT
Ch. 1.3 - Prob. 1PTCh. 1.3 - Prob. 2PTCh. 1.3 - Prob. 3PTCh. 1.3 - Prob. 4PTCh. 1.3 - Prob. 5PTCh. 1.3 - Prob. 6PTCh. 1.3 - Prob. 7PTCh. 1.4 - Prob. 1PTCh. 1.4 - A mosquito population of 100 grows to 500 after...Ch. 1.4 - Prob. 3PTCh. 1.4 - Prob. 4PTCh. 1.5 - A function f is one-to-one means:
if x1 = x2, then...Ch. 1.5 - Prob. 2PTCh. 1.5 - Prob. 3PTCh. 1.5 - Prob. 4PTCh. 1.5 - Prob. 5PTCh. 1.5 - True or False:
ln(a + b) = ln a + ln b.
Ch. 1.5 - Prob. 7PTCh. 1.5 - Prob. 8PTCh. 1.5 - Prob. 9PT
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- Find the x- and y- intercepts on the graph.arrow_forwardIn Exercises 47-50, determine the x-intercept(s) of the graph visually. Then find the x-intercept(s) algebraically to confirm your results. y=x22x3arrow_forwardUse the data to generate any three (3) appropriate graphs. *You answer should include a total of three graphs.arrow_forward
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