The height y (in meters) of a volcano in the southeast Pacific Ocean is recorded in the table for selected years since 1960. Number of Years Since Height (m)| 1960, x 166 10 290 20 408 30 526 40 650 50 760 54 813 a. Graph the data in a scatter plot. b. Use the points (0, 166) and (40, 650) to write a linear function that defines the height y of the volcano, x years since 1960. c. Interpret the meaning of the slope in the context of this problem. d. Use the model in part (b) to predict the height of the volcano in the year 2030 assuming that the linear trend continues.
The height y (in meters) of a volcano in the southeast Pacific Ocean is recorded in the table for selected years since 1960. Number of Years Since Height (m)| 1960, x 166 10 290 20 408 30 526 40 650 50 760 54 813 a. Graph the data in a scatter plot. b. Use the points (0, 166) and (40, 650) to write a linear function that defines the height y of the volcano, x years since 1960. c. Interpret the meaning of the slope in the context of this problem. d. Use the model in part (b) to predict the height of the volcano in the year 2030 assuming that the linear trend continues.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 16E: High School Graduates The following table shows the number, in millions, graduating from high school...
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Transcribed Image Text:The height y (in meters) of a volcano in the southeast Pacific Ocean is recorded in the table for selected years since 1960.
Number of
Years Since Height (m)|
1960, x
166
10
290
20
408
30
526
40
650
50
760
54
813
a. Graph the data in a scatter plot.
b. Use the points (0, 166) and (40, 650) to write a linear function that defines the height y of the volcano, x years since
1960.
c. Interpret the meaning of the slope in the context of this problem.
d. Use the model in part (b) to predict the height of the volcano in the year 2030 assuming that the linear trend continues.
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