1. Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the function T=0.02t +8.5, where T is temperature in °C and t represents years since 1900. A) What is the slope? What does it represent in this problem? B) What is the T-intercept? What does it represent in this problem? C) Use the equation to predict the average global surface temperature in 2009.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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1. Recent studies indicate that the average surface temperature of the earth has been rising
steadily. Some scientists have modeled the temperature by the function T=0.02t +8.5, where
T is temperature in °C and t represents years since 1900.
A) What is the slope? What does it represent in this problem?
B) What is the T-intercept? What does it represent in this problem?
C) Use the equation to predict the average global surface temperature in 2009.
2. Given the graph as shown:
A) Draw a secant line between x = 1 and x = 5 and
estimate the slope of the line.
slope =
B) Draw a tangent line at x = 1 and estimate the slope of
the line.
slope =
3. The following table lists how many times an average person ate meals out in restaurants by
year.
Year, y
Meals, m
1990 1992 1994 1996 1998 1999
121 124 128 132 137 139
A) What is the average rate of change of the number of meals between year 1992 and 1998?
B) Estimate the instantaneous rate of change at y=1994.
C) What does m'(1994) mean in terms of year and meals?
Transcribed Image Text:1. Recent studies indicate that the average surface temperature of the earth has been rising steadily. Some scientists have modeled the temperature by the function T=0.02t +8.5, where T is temperature in °C and t represents years since 1900. A) What is the slope? What does it represent in this problem? B) What is the T-intercept? What does it represent in this problem? C) Use the equation to predict the average global surface temperature in 2009. 2. Given the graph as shown: A) Draw a secant line between x = 1 and x = 5 and estimate the slope of the line. slope = B) Draw a tangent line at x = 1 and estimate the slope of the line. slope = 3. The following table lists how many times an average person ate meals out in restaurants by year. Year, y Meals, m 1990 1992 1994 1996 1998 1999 121 124 128 132 137 139 A) What is the average rate of change of the number of meals between year 1992 and 1998? B) Estimate the instantaneous rate of change at y=1994. C) What does m'(1994) mean in terms of year and meals?
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