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Math B Regents Exam Questions by Type - 6 Point Free Response Page 3
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12. The table below, created in 1996, shows a
history of transit fares from 1955 to 1995. On
the accompanying grid, construct a scatter
plot where the independent variable is years.
State the exponential regression equation with
the coefficient and base rounded to the
nearest thousandth. Using this equation,
determine the prediction that should have
been made for the year 1998, to the nearest
cent.
14. An architect is designing a park with an
entrance represented by point C and a circular
garden with center O, as shown in the
accompanying diagram. The architect plans
to connect three points on the circumference
of the garden, A, B, and D, to the park
entrance, C, with walkways so that walkways
CA and CB are tangent to the garden,
walkway DOEC is a path through the center
of the garden, mADB : mAEB = 3:2, BC = 60
meters, and EC = 43.6 meters.
Find the measure of the angle between
walkways CA and CB.
Find the diameter of the circular garden, to
the nearest meter.
13. The availability of leaded gasoline in New
York State is decreasing, as shown in the
accompanying table.
15. The accompanying diagram shows a circular
machine part that has rods PT and PAR
attached at points T, A, and R, which are
located on the circle;
mTA : m AR : m RT = 1:3:5; RA = 12
centimeters; and PA = 5 centimeters.
Determine a linear relationship for x (years)
versus y (gallons available), based on the data
given. The data should be entered using the
year and gallons available (in thousands),
such as (1984,150).
If this relationship continues, determine the
number of gallons of leaded gasoline
available in New York State in the year 2005.
If this relationship continues, during what
year will leaded gasoline first become
unavailable in New York State?
Find the measure of ∠P, in degrees, and find
the length of rod PT, to the nearest tenth of a
centimeter.