17) As the number of farms has decreased in the United States, the average size of the remaining farms has grown larger, as shown in the table. Year Average Acre Per Farm 1910 139 1920 149 1930 157 1940 175 1950 216 303 390 1959 1969 1978 449 462 487 1987 1997 a) Make a scatterplot of the data, letting x represent the number of years since 1900. b) Manually find a line of best fit in slope-intercept form. Write down the two points used to find this line. c) Use a graphing calculator to find the line of best fit. Round to the nearest hundredth if necessary. d) Predict the average acreage in 2000 and 2010. Round to the nearest whole number. e) What was the average acreage in 1810 (to the nearest integer)? Is this reasonable? Explain why or why not. 500 480 460 440 420 400 380 360 340 320 300 280 260 240 220 200 180 160 140 120 100 60 40 20 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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17) As the number of farms has decreased in the United States, the average size of the remaining farms has
grown larger, as shown in the table.
Year Average Acre Per Farm
1910
139
1920
149
1930
157
1940
175
1950
216
1959
303
1969
390
1978
449
1987
462
487
1997
a) Make a scatterplot of the data, letting x represent the number of years since 1900.
b) Manually find a line of best fit in slope-intercept form. Write down the two points used to find this line.
c) Use a graphing calculator to find the line of best fit. Round to the nearest hundredth if necessary.
d) Predict the average acreage in 2000 and 2010. Round to the nearest whole number.
e) What was the average acreage in 1810 (to the nearest integer)? Is this reasonable? Explain why or why
not.
5o0
480
460
440
420
400
380
360
340
320
300
280
260
240
220
200
180
160
140
120
100
80
60
40
20
10 15 20 25 30 35 40
45 50 55 60 65 70 75 80 85 90 95 100
O 2014 Kuta Software LLc. All rights reserved. Made with Infinite Algebra I
Transcribed Image Text:17) As the number of farms has decreased in the United States, the average size of the remaining farms has grown larger, as shown in the table. Year Average Acre Per Farm 1910 139 1920 149 1930 157 1940 175 1950 216 1959 303 1969 390 1978 449 1987 462 487 1997 a) Make a scatterplot of the data, letting x represent the number of years since 1900. b) Manually find a line of best fit in slope-intercept form. Write down the two points used to find this line. c) Use a graphing calculator to find the line of best fit. Round to the nearest hundredth if necessary. d) Predict the average acreage in 2000 and 2010. Round to the nearest whole number. e) What was the average acreage in 1810 (to the nearest integer)? Is this reasonable? Explain why or why not. 5o0 480 460 440 420 400 380 360 340 320 300 280 260 240 220 200 180 160 140 120 100 80 60 40 20 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 O 2014 Kuta Software LLc. All rights reserved. Made with Infinite Algebra I
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