Type - JMap
Type - JMap
Type - JMap
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Math B Regents Exam Questions by <strong>Type</strong> - 4 Point Free Response Page 11<br />
www.jmap.org<br />
61. The price of a stock, A(x), over a 12-month<br />
period decreased and then increased<br />
according to the equation<br />
2<br />
Ax ( ) = 075 . x − 6x+<br />
20,<br />
where x equals the<br />
number of months. The price of another<br />
stock, B(x), increased according to the<br />
equation Bx ( ) = 275 . x+<br />
150 . over the same<br />
12-month period. Graph and label both<br />
equations on the accompanying grid. State all<br />
prices, to the nearest dollar, when both stock<br />
values were the same.<br />
63. The coordinates of quadrilateral ABCD are<br />
A(-1,-5), B(8,2), C(11,13), and D(2,6). Using<br />
coordinate geometry, prove that quadrilateral<br />
ABCD is a rhombus. [The use of the grid is<br />
optional.]<br />
62. On the accompanying grid, solve the<br />
following system of equations graphically:<br />
2<br />
y =− x + 2x+<br />
1<br />
x<br />
y = 2<br />
64. An electronics company produces a<br />
headphone set that can be adjusted to<br />
accommodate different-sized heads. Research<br />
into the distance between the top of people's<br />
heads and the top of their ears produced the<br />
following data, in inches:<br />
4.5, 4.8, 6.2, 5.5, 5.6, 5.4, 5.8, 6.0, 5.8, 6.2,<br />
4.6, 5.0, 5.4, 5.8<br />
The company decides to design their<br />
headphones to accommodate three standard<br />
deviations from the mean. Find, to the nearest<br />
tenth, the mean, the standard deviation, and<br />
the range of distances that must be<br />
accommodated.
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