Solve the Problem $2 \mathrm { P } + 3 \mathrm {~F} \leq 23$

question 1

Multiple Choice

Solve the problem.
-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 $2 \mathrm { P } + \mathrm { F } \leq 17$ 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) \(\mathrm { No }\)
• B) Yes
• C) No
• D) \(\mathrm { Yes }\)

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Definitions:

Basin

1. A low-lying area or an area in which sediments accumulate with no surface outlet. 2. A structural feature toward which rock strata are inclined in all directions.

Metamorphic Grade

The intensity of heat and pressure conditions that have altered a rock, affecting its mineral composition and structure during the process of metamorphism.

Banded Gneissic Rock

A metamorphic rock characterized by alternating light and dark mineral bands, indicating high-grade metamorphism.

Mica Crystals

Minerals characterized by their sheet-like structure and ability to split easily along flat planes, commonly found in igneous and metamorphic rocks.