

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. 
$2.00$4.00 
B. 
$2.50$4.50 


C. 
$3.00$4.50 
D. 
$2.25$2.50 


Hint 


2. 
Find the value of n to the nearest degree. 





A. 
45° 
B. 
90° 


C. 
53° 
D. 
37° 


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 = 2 sin 
B. 
y = 2 sin 


C. 
y = sin 4 
D. 
y = 4 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 = –16t^{2} + 125t + 5, where y is the height after t seconds. Will the ball be considered an easy catch? 


A. 
no, because t > 7 
B. 
yes, because t < 7 


C. 
no, because t < 7 
D. 
yes, 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 18° 
B. 
about 10° 


C. 
about 4° 
D. 
about 8° 


Hint 


8. 
What is the reference angle of 240°? 


A. 
–60° 
B. 
120° 


C. 
–120° 
D. 
60° 


Hint 


9. 
Find sin 315° by drawing a reference angle. 


A. 

B. 



C. 

D. 
1 


Hint 


10. 
What is the period for the graph 


A. 
45° 
B. 
360° 


C. 
180° 
D. 
720° 


Hint 


