In recent decades, the percentage of Americans who always wear their seatbelt has been on the rise.
Question:
In recent decades, the percentage of Americans who always wear their seatbelt has been on the rise. The following table contains data between the years 1992 and 2011 (n, number of years after 1992) representing the percentage (P) of Americans who always wear seatbelts.
n 0 4 8 12 16 19
P 70 75 79 83 87 91
Percentage of Americans Who Always
Wear Seatbelts (1992-2011)
P = 1.07n + 70.28
a. Estimate the percentage of Americans who always wear their seatbelt for 2002. Explain clearly and completely how you arrived at your answer.
b. Estimate the percentage of Americans who always wear their seatbelt for 2012. Explain clearly and completely how you arrived at your answer.
c. Estimate the percentage of Americans who always wear their seatbelt for 2024. Explain clearly and completely how you arrived at your answer.
d. Comment on the reasonableness of your answers and limitations of the methods you used in parts a–c.