1.
Stan the Hot Dog Man sells 100 hot dogs per day for $2 each, so his daily revenue is $200. He estimates that for every 25 cents he increases the price of a hot dog, he will sell 5 fewer. What range of prices can he charge so that his daily revenue is at least $225?
A.
$3.00-$4.50
B.
$2.00-$4.00
C.
$2.25-$2.50
D.
$2.50-$4.50
Hint
2.
Find the value of
n
to the nearest degree.
A.
90°
B.
37°
C.
53°
D.
45°
Hint
3.
Determine the exact value of sin 150°.
A.
B.
C.
D.
Hint
4.
If
is an angle in standard position whose terminal side lies in quadrant III and
find the exact value of the tan
.
A.
B.
C.
D.
Hint
5.
Write an equation of the function whose graph is shown.
A.
y
= sin 4
B.
y
= 4 sin
C.
y
= 2 sin
D.
y
= 2 sin
Hint
6.
In baseball, a pop fly should be easily caught if it stays in the air for 7 seconds. Suppose a ball that is hit can be represented by the function
y
= –16
t
2
+ 125
t
+ 5, where
y
is the height after
t
seconds. Will the ball be considered an easy catch?
A.
yes, because
t
> 7
B.
yes, because
t
< 7
C.
no, because
t
< 7
D.
no, because
t
> 7
Hint
7.
A long ramp that leads to a building entrance is 45 feet. The stairs to the entrance have a vertical height of 6 feet. What is the angle of incline of the ramp?
A.
about 8°
B.
about 10°
C.
about 4°
D.
about 18°
Hint
8.
What is the reference angle of 240°?
A.
–60°
B.
–120°
C.
60°
D.
120°
Hint
9.
Find sin 315° by drawing a reference angle.
A.
1
B.
C.
D.
Hint
10.
What is the period for the graph
A.
180°
B.
720°
C.
360°
D.
45°
Hint