SOLUTION: in 2005, the precent of U.S. drivers wearing seat belts was 82%. The number of drivers wearing seat belts in 2000 was 71%. Let y be the number of drivers wearing seat belts in th

Question 715844: in 2005, the precent of U.S. drivers wearing seat belts was 82%. The number of drivers wearing seat belts in 2000 was 71%. Let y be the number of drivers wearing seat belts in the year x where x=0 represents the year 2000.
a) Write a linear equation that models the percent of US. drivers wearing seat belts in terms of the year x.
b) Use the equation found in part (a) to predict the number of U.S. drivers wearing seat belts in the year 2009.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
in 2005, the precent of U.S. drivers wearing seat belts was 82%. The number of drivers wearing seat belts in 2000 was 71%. Let y be the number of drivers wearing seat belts in the year x where x=0 represents the year 2000.
----------
You have 2 points relating year and percent:
(5,82) and (0,71)
-----------
a) Write a linear equation that models the percent of US. drivers wearing seat belts in terms of the year x.
slope = (82-71)/(5-0) = 11/5 = 2.2
----
intercept = f(0) = 71
----
Equation:
y = 2.2x + 71
==============================
b) Use the equation found in part (a) to predict the number of U.S. drivers wearing seat belts in the year 2009.
----
f(9) = 2.2*9+71 = 90.8%
=============================
Cheers,
Stan H.
=============================

RELATED QUESTIONS
In 2005, the percent of U.S. drivers wearing seat belts was 82%. The number of drivers... (answered by Theo)

In Texas 75% of all drivers wear their seat belts. A) Out of 160 drivers, what is the... (answered by robertb)

A recent study by the American Highway Patrolman�s association reveals that 60% of... (answered by stanbon)

Only 35% of the drivers in a particular city wear seat belts. Suppose that 20 drivers are (answered by mathmate)

Only 35% of the drivers in a particular city wear seat belts. Suppose that 20 drivers are (answered by stanbon)

At a police check point, it is estimated that 10 cars chosen at random can be checked in... (answered by reviewermath)

Suppose that only 65% of all drivers in a certain state wear a seat belt. A random sample (answered by stanbon)

according to the National Hight way traffic safety Administration, 83 % of American used... (answered by Fombitz)

During the month of may, county sheriffs department was issued 117 traffic tickets for... (answered by ikleyn)