The tunction x) 753 Inx+62 models the percentage of first-year college men in a
ID: 3138392 • Letter: T
Question
The tunction x) 753 Inx+62 models the percentage of first-year college men in a certain country expressing antifeminist views (by Opposition to Femnism among First-Year Colege Students, 1970- 2004 agreeing wih the statement) x years atter 1969 Complete paits (a) (b) Statemest The actiwities of a martied woman are best confined to the homse und famly 52 9 77 344 34.1 Meamen a. Use the function to find the percentage of fest year college men expressing antifeminist views in 2004 Does this function overestimate or underestimate the percentage displayed on the graph? By how much? Use the tuncion to find the percentage of first-year college men expressing antifeminist views in 2004 D, of first-year college men expressed anremnist wews Round to the nearest tenth as needed ) Does tis function overestimate or underestimale the percentage displayed on the graph? O The tunction undesestmates the achual fercentage O The tunction overestimates the actual pescentage By thow much does the function value differ trom the actual percentage? Round to me nearest venth as needed b. Use the tunction to project he percentage of hrst-year colege men who wil express antiteminist views in 2010 Rourd to the neal eeth as needed ) 2 Cuck to select your answests)Explanation / Answer
a) Given function is
y=-7.53*lnx+62
The percentage of first year college men expressing antifeminist view in 2004 that is when x=35 is given by
y=-7.53*ln(35)+62
=-7.53*3.555+62
=35.228
=35.23
The percentage of first year college men expressing antifeminist view in 2004 is 35.23%
The function overestimate the actual percentage.
The value differe by actual percentage is 35.23-34.1 =1.13
The value differe by actual percentage is 1.13%
b) The percentage of first year college men expressing antifeminist view in 2010 that is when x=41 is given by
y=-7.53*ln(41)+62
=-7.53*3.71+62
=-27.96 +62
=34.04
The percentage of first year college men expressing antifeminist view in 2010 is 34.04%
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