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-The Equation That Represents the Proper Traffic Control and Emergency

Question 90

Multiple Choice

Solve.
-The equation that represents the proper traffic control and emergency vehicle response availability in a small city is 2P+3 F232 \mathrm { P } + 3 \mathrm {~F} \leq 23 , where P\mathrm { P } is the number of police cars on active duty and F\mathrm { F } is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation 4P+2 F344 \mathrm { P } + 2 \mathrm {~F} \leq 34 is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so P0\mathrm { P } \geq 0 and F0\mathrm { F } \geq 0 . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for P\mathrm { P } and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?
 Solve. -The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  2 \mathrm { P } + 3 \mathrm {~F} \leq 23 , where  \mathrm { P }  is the number of police cars on active duty and  \mathrm { F }  is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  4 \mathrm { P } + 2 \mathrm {~F} \leq 34  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so  \mathrm { P } \geq 0  and  \mathrm { F } \geq 0 . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for  \mathrm { P }  and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?    A)   B)   C)   D)


A)  Solve. -The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  2 \mathrm { P } + 3 \mathrm {~F} \leq 23 , where  \mathrm { P }  is the number of police cars on active duty and  \mathrm { F }  is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  4 \mathrm { P } + 2 \mathrm {~F} \leq 34  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so  \mathrm { P } \geq 0  and  \mathrm { F } \geq 0 . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for  \mathrm { P }  and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?    A)   B)   C)   D)
B)  Solve. -The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  2 \mathrm { P } + 3 \mathrm {~F} \leq 23 , where  \mathrm { P }  is the number of police cars on active duty and  \mathrm { F }  is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  4 \mathrm { P } + 2 \mathrm {~F} \leq 34  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so  \mathrm { P } \geq 0  and  \mathrm { F } \geq 0 . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for  \mathrm { P }  and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?    A)   B)   C)   D)
C)  Solve. -The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  2 \mathrm { P } + 3 \mathrm {~F} \leq 23 , where  \mathrm { P }  is the number of police cars on active duty and  \mathrm { F }  is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  4 \mathrm { P } + 2 \mathrm {~F} \leq 34  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so  \mathrm { P } \geq 0  and  \mathrm { F } \geq 0 . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for  \mathrm { P }  and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?    A)   B)   C)   D)
D)  Solve. -The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  2 \mathrm { P } + 3 \mathrm {~F} \leq 23 , where  \mathrm { P }  is the number of police cars on active duty and  \mathrm { F }  is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  4 \mathrm { P } + 2 \mathrm {~F} \leq 34  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so  \mathrm { P } \geq 0  and  \mathrm { F } \geq 0 . Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for  \mathrm { P }  and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?    A)   B)   C)   D)

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