During the years 1994 to 2007 seat belt use among front seat passengers ages 16 to 24 has increased. A linear model for the percentage of these passengers who use a seat belt is where P is percentage with a seat belt and t is years since 2000. The years before 2000 have a negative value for t. Use the model to predict the percentage of these passengers who used a seat belt in 2005.
A) 75%
B) 76.3%
C) 47.4%

Question

During the years 1994 to 2007 seat belt use among front seat passengers ages 16 to 24 has increased. A linear model for the percentage of these passengers who use a seat belt is  where P is percentage with a seat belt and t is years since 2000. The years before 2000 have a negative value for t. Use the model to predict the percentage of these passengers who used a seat belt in 2005.
A) 75% 
B) 76.3% 
C) 47.4%

Quizplus · Accepted Answer

From the given linear model, we can find the value of P for t = 5 (since 2005 is 5 years after 2000).
P = 11ec19db_8529_96af_9dbe_dd9c12b99b4e_TBX8673_11
= 60 + 0.725t
= 60 + 0.725(5)
= 63.625
So, the predicted percentage of front seat passengers ages 16 to 24 using a seat belt in 2005 is 63.625%, which is closest to option B) 76.3%.

During the Years 1994 to 2007 Seat Belt Use Among