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Math B Regents Exam Questions by Type - 4 Point Free Response Page 12
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65. A baseball player throws a ball from the
outfield toward home plate. The ball's height
above the ground is modeled by the equation
2
y =− 16x + 48x+
6 where y represents
height, in feet, and x represents time, in
seconds. The ball is initially thrown from a
height of 6 feet.
How many seconds after the ball is thrown
will it again be 6 feet above the ground?
What is the maximum height, in feet, that the
ball reaches? [The use of the accompanying
grid is optional.]
67. Kathy and Tami are at point A on a circular
track that has a radius of 150 feet, as shown in
the accompanying diagram. They run
counterclockwise along the track from A to S,
a distance of 247 feet. Find, to the nearest
degree, the measure of minor arc AS.
66. A real estate agent plans to compare the price
of a cottage, y, in a town on the seashore to
the number of blocks, x, the cottage is from
the beach. The accompanying table shows a
random sample of sales and location data.
Write a linear regression equation that relates
the price of a cottage to its distance from the
beach.
Use the equation to predict the price of a
cottage, to the nearest dollar, located three
blocks from the beach.
68. A hotel finds that its total annual revenue and
the number of rooms occupied daily by
guests can best be modeled by the
2
function R = 3log( n + 10n), n>
0, where R
is the total annual revenue, in millions of
dollars, and n is the number of rooms
occupied daily by guests. The hotel needs an
annual revenue of $12 million to be
profitable. Graph the function on the
accompanying grid over the interval
0 < n ≤100.
Calculate the minimum number of rooms that
must be occupied daily to be profitable.
69. Solve for all values of q that satisfy the
equation 3q+ 7 = q+ 3.