The graph shows the percentage of high school seniors who used alcohol or marijuana during the 30 days prior to being surveyed. The data can be described by the following mathematical models, where n is the number of years after 1980, A is the percentage of seniors using alcohol, and M is the percentage of seniors using marijuana. A= -0.7 +54 M = -0.4n+26 was about 1990 1980 Alcohol and Marijuana Use by High School Seniors a. Use the appropriate line graph to determine the percentage of seniors who used marijuana in 1985. (Type a whole number.) b. Use the appropriate formula to determine the percentage of seniors who used marijuana in 1985. % (Type an integer or a decimal.) Does the formula underestimate or overestimate the actual data shown by the graph? By how much? The formula by c. Use the appropriate line graph to estimate the percentage of seniors who used alcohol in 1985. % (Type a whole number.) d. Use the appropriate formula to determine the percentage of seniors who used alcohol in 1985. % (Type an integer or a decimal.) How does this compare with the estimate from part (c)? 1985 A 80+ 70 60+ 50+ OA. The formula appears to underestimate the percentage, when compared to the line graph. OB. The formula appears to overestimate the percentage, when compared to the line graph. 1995 PA 30+ 20+ 10- 2000 Alcohol e. For the period from 1980 through 2009, in which year was marijuana use by seniors at a minimum? Estimate the percentage of seniors who used marijuana in that year. The percentage of seniors who used marijuana in Marijuana of 1980 1985 1990 1995 2000 05 09 Year Q

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The graph shows the percentage of high school seniors who used
alcohol or marijuana during the 30 days prior to being surveyed. The
data can be described by the following mathematical models, where n
is the number of years after 1980, A is the percentage of seniors using
alcohol, and M is the percentage of seniors using marijuana.
A = -0.7n+54
M = -0.4n+26
was about
1990
1980
1985
1995
a. Use the appropriate line graph to determine the percentage of seniors who used marijuana in 1985.
% (Type a whole number.)
b. Use the appropriate formula to determine the percentage of seniors who used marijuana in 1985.
% (Type an integer or a decimal.)
Does the formula underestimate or overestimate the actual data shown by the graph? By how much?
The formula
by
by
c. Use the appropriate line graph to estimate the percentage of seniors who used alcohol in 1985.
% (Type a whole number.)
d. Use the appropriate formula to determine the percentage of seniors who used alcohol in 1985.
% (Type an integer or a decimal.)
How does this compare with the estimate from part (c)?
2000
Alcohol and Marijuana Use by
High School Seniors
80+
704
60-
50-
ww
OA. The formula appears to underestimate the percentage, when compared to the line graph.
OB. The formula appears to overestimate the percentage, when compared to the line graph.
2005
2009
40+
407
30-
20+
10-
e. For the period from 1980 through 2009, in which year was marijuana use by seniors at a minimum? Estimate the
percentage of seniors who used marijuana in that year.
The percentage of seniors who used marijuana in
Alcohol
Marijuana
+
0+
1980 1985 1990 1995 2000 05 09
Year
Q
Transcribed Image Text:The graph shows the percentage of high school seniors who used alcohol or marijuana during the 30 days prior to being surveyed. The data can be described by the following mathematical models, where n is the number of years after 1980, A is the percentage of seniors using alcohol, and M is the percentage of seniors using marijuana. A = -0.7n+54 M = -0.4n+26 was about 1990 1980 1985 1995 a. Use the appropriate line graph to determine the percentage of seniors who used marijuana in 1985. % (Type a whole number.) b. Use the appropriate formula to determine the percentage of seniors who used marijuana in 1985. % (Type an integer or a decimal.) Does the formula underestimate or overestimate the actual data shown by the graph? By how much? The formula by by c. Use the appropriate line graph to estimate the percentage of seniors who used alcohol in 1985. % (Type a whole number.) d. Use the appropriate formula to determine the percentage of seniors who used alcohol in 1985. % (Type an integer or a decimal.) How does this compare with the estimate from part (c)? 2000 Alcohol and Marijuana Use by High School Seniors 80+ 704 60- 50- ww OA. The formula appears to underestimate the percentage, when compared to the line graph. OB. The formula appears to overestimate the percentage, when compared to the line graph. 2005 2009 40+ 407 30- 20+ 10- e. For the period from 1980 through 2009, in which year was marijuana use by seniors at a minimum? Estimate the percentage of seniors who used marijuana in that year. The percentage of seniors who used marijuana in Alcohol Marijuana + 0+ 1980 1985 1990 1995 2000 05 09 Year Q
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