5.5 Answer Explanationsupward (positive). The slope of k is therefore less
than the slope of/.Th e correct answer 1s C·
both statements together are sufficient.
DS09642- When the wind speed is 9 miles per hour, the wind-chill
factor w is given by
W=-17.366+ l.19t,where tis the temperature in degrees Fahrenheit. If
at noon yesterday the wind speed was 9 miles per
hour, was the wind-chill factor greater than O?(1) The temperature at noon yesterday was greater
than 10 degrees Fahrenhe止
(2) The temperature at noon yesterday was less
than 20 degrees Fahrenheit.Algebra
Determine whether -17.366 + 1.19t is greater
than 0.(1) Given that t > 10, it follows that
—17.366 + 1.19t> —17.366 + 1.19(10),
or -17.366 + 1.19t>-5.466. However,
it is not possible to determine
whether —17.366 + 1.19tis greater than- For example, if t= 19, then
-17.366 + 1.19t= 5.244 is greater than - However, if t = 11, then
-17.366 + 1.19t = -4.276, which is not
greater than O; NOT sufficient.
(2) Given that t < 20, the same examples
used in (1) show that it is not possible to
determine whether -17.366 + 1.19t is
greater than O; NOT sufficient.
T如ng (1) and (2) together is of no more help
than either (1) or (2) taken separately because the
same examples were used in both (1) and (2).
Th e correct answer 1s E;
both statements together are still not sufficient.A(1J
DS08852- What is the volume of the cube above?
(1) The surface area of the cube is 600 square inches.
(2) The length of diagonal AB is 10岛inches.Geometry
This problem can be solved by determining
the side length, s, of the cube.(1) This indicates that 6召=600,from
which it follows that s2 = 100 ands= 10;
SUFFICIENT.
(2) To determine diagonal AB, first determine
diagonalANby applying the Pythagorean
theorem to凶MN:AN=护了三✓21.
Now determine AB by applying the
Pythagorean theorem to凶邓：AB=
.j(AN)(^2) + (NB)三五口了=✓3了＝
s✓
3
. It is given that AB= 10 ✓
3
, and so
s = 10; SUFFICIENT.N
sAs
M1h e correct answer 1s D·，
each statement alone is sufficient.